LCM for 121 and 169

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What's the Least Common Multiple (LCM) of 121 and 169?

Answer

LCM of 121 and 169 is
20,449

(Twenty thousand four hundred forty-nine)

Finding LCM for 121 and 169 using GCF of these numbers

The first method to find LCM for numbers 121 and 169 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 121 and 169 is 1, so

LCM = (121 × 169) ÷ 1

LCM = 20,449 ÷ 1

LCM = 20,449

Finding LCM for 121 and 169 by Listing Multiples

The second method to find LCM for numbers 121 and 169 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 121: 121, 242, 363, 484, 605, 726, 847, 968, 1,089, 1,210, 1,331, 1,452, 1,573, 1,694, 1,815, 1,936, 2,057, 2,178, 2,299, 2,420, 2,541, 2,662, 2,783, 2,904, 3,025, 3,146, 3,267, 3,388, 3,509, 3,630, 3,751, 3,872, 3,993, 4,114, 4,235, 4,356, 4,477, 4,598, 4,719, 4,840, 4,961, 5,082, 5,203, 5,324, 5,445, 5,566, 5,687, 5,808, 5,929, 6,050, 6,171, 6,292, 6,413, 6,534, 6,655, 6,776, 6,897, 7,018, 7,139, 7,260, 7,381, 7,502, 7,623, 7,744, 7,865, 7,986, 8,107, 8,228, 8,349, 8,470, 8,591, 8,712, 8,833, 8,954, 9,075, 9,196, 9,317, 9,438, 9,559, 9,680, 9,801, 9,922, 10,043, 10,164, 10,285, 10,406, 10,527, 10,648, 10,769, 10,890, 11,011, 11,132, 11,253, 11,374, 11,495, 11,616, 11,737, 11,858, 11,979, 12,100, 12,221, 12,342, 12,463, 12,584, 12,705, 12,826, 12,947, 13,068, 13,189, 13,310, 13,431, 13,552, 13,673, 13,794, 13,915, 14,036, 14,157, 14,278, 14,399, 14,520, 14,641, 14,762, 14,883, 15,004, 15,125, 15,246, 15,367, 15,488, 15,609, 15,730, 15,851, 15,972, 16,093, 16,214, 16,335, 16,456, 16,577, 16,698, 16,819, 16,940, 17,061, 17,182, 17,303, 17,424, 17,545, 17,666, 17,787, 17,908, 18,029, 18,150, 18,271, 18,392, 18,513, 18,634, 18,755, 18,876, 18,997, 19,118, 19,239, 19,360, 19,481, 19,602, 19,723, 19,844, 19,965, 20,086, 20,207, 20,328, 20,449, 20,570, 20,691

Multiples of 169: 169, 338, 507, 676, 845, 1,014, 1,183, 1,352, 1,521, 1,690, 1,859, 2,028, 2,197, 2,366, 2,535, 2,704, 2,873, 3,042, 3,211, 3,380, 3,549, 3,718, 3,887, 4,056, 4,225, 4,394, 4,563, 4,732, 4,901, 5,070, 5,239, 5,408, 5,577, 5,746, 5,915, 6,084, 6,253, 6,422, 6,591, 6,760, 6,929, 7,098, 7,267, 7,436, 7,605, 7,774, 7,943, 8,112, 8,281, 8,450, 8,619, 8,788, 8,957, 9,126, 9,295, 9,464, 9,633, 9,802, 9,971, 10,140, 10,309, 10,478, 10,647, 10,816, 10,985, 11,154, 11,323, 11,492, 11,661, 11,830, 11,999, 12,168, 12,337, 12,506, 12,675, 12,844, 13,013, 13,182, 13,351, 13,520, 13,689, 13,858, 14,027, 14,196, 14,365, 14,534, 14,703, 14,872, 15,041, 15,210, 15,379, 15,548, 15,717, 15,886, 16,055, 16,224, 16,393, 16,562, 16,731, 16,900, 17,069, 17,238, 17,407, 17,576, 17,745, 17,914, 18,083, 18,252, 18,421, 18,590, 18,759, 18,928, 19,097, 19,266, 19,435, 19,604, 19,773, 19,942, 20,111, 20,280, 20,449, 20,618, 20,787

So the LCM for 121 and 169 is 20,449

Finding LCM for 121 and 169 by Prime Factorization

Another method to find LCM for numbers 121 and 169 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 121: 11, 11 (exponent form: 112)

All Prime Factors of 169: 13, 13 (exponent form: 132)

112 × 132 = 20,449

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 121 and 169? (The answer is: 20,449). Select the first number (e.g. '121') and the second number (e.g. '169'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
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LCM Table

Number 1Number 2LCM
1211541,694
12115518,755
12115618,876
12115718,997
12115819,118
12115919,239
12116019,360
12116119,481
12116219,602
12116319,723
12116419,844
1211651,815
12116620,086
12116720,207
12116820,328
12116920,449
12117020,570
12117120,691
12117220,812
12117320,933
12117421,054
12117521,175
1211761,936
12117721,417
12117821,538
12117921,659
12118021,780
12118121,901
12118222,022
12118322,143

FAQ

What's the Least Common Multiple (LCM) of 121 and 169?

LCM of 121 and 169 is 20,449

How to find the LCM of 121 and 169 using prime factorization?

To find the LCM of 121 and 169, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 20,449.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 121 and 169: LCM = 20,449, GCF = 1.

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