LCM for 121 and 144

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What's the Least Common Multiple (LCM) of 121 and 144?

Answer

LCM of 121 and 144 is
17,424

(Seventeen thousand four hundred twenty-four)

Finding LCM for 121 and 144 using GCF of these numbers

The first method to find LCM for numbers 121 and 144 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 121 and 144 is 1, so

LCM = (121 × 144) ÷ 1

LCM = 17,424 ÷ 1

LCM = 17,424

Finding LCM for 121 and 144 by Listing Multiples

The second method to find LCM for numbers 121 and 144 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

Multiples of 144: 144, 288, 432, 576, 720, 864, 1,008, 1,152, 1,296, 1,440, 1,584, 1,728, 1,872, 2,016, 2,160, 2,304, 2,448, 2,592, 2,736, 2,880, 3,024, 3,168, 3,312, 3,456, 3,600, 3,744, 3,888, 4,032, 4,176, 4,320, 4,464, 4,608, 4,752, 4,896, 5,040, 5,184, 5,328, 5,472, 5,616, 5,760, 5,904, 6,048, 6,192, 6,336, 6,480, 6,624, 6,768, 6,912, 7,056, 7,200, 7,344, 7,488, 7,632, 7,776, 7,920, 8,064, 8,208, 8,352, 8,496, 8,640, 8,784, 8,928, 9,072, 9,216, 9,360, 9,504, 9,648, 9,792, 9,936, 10,080, 10,224, 10,368, 10,512, 10,656, 10,800, 10,944, 11,088, 11,232, 11,376, 11,520, 11,664, 11,808, 11,952, 12,096, 12,240, 12,384, 12,528, 12,672, 12,816, 12,960, 13,104, 13,248, 13,392, 13,536, 13,680, 13,824, 13,968, 14,112, 14,256, 14,400, 14,544, 14,688, 14,832, 14,976, 15,120, 15,264, 15,408, 15,552, 15,696, 15,840, 15,984, 16,128, 16,272, 16,416, 16,560, 16,704, 16,848, 16,992, 17,136, 17,280, 17,424, 17,568, 17,712

So the LCM for 121 and 144 is 17,424

Finding LCM for 121 and 144 by Prime Factorization

Another method to find LCM for numbers 121 and 144 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 144: 2, 2, 2, 2, 3, 3 (exponent form: 24, 32)

112 × 24 × 32 = 17,424

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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 144? (The answer is: 17,424). Select the first number (e.g. '121') and the second number (e.g. '144'). 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
"Least Common Multiple" Calculator
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LCM Table

Number 1Number 2LCM
12112915,609
12113015,730
12113115,851
1211321,452
12113316,093
12113416,214
12113516,335
12113616,456
12113716,577
12113816,698
12113916,819
12114016,940
12114117,061
12114217,182
1211431,573
12114417,424
12114517,545
12114617,666
12114717,787
12114817,908
12114918,029
12115018,150
12115118,271
12115218,392
12115318,513
1211541,694
12115518,755
12115618,876
12115718,997
12115819,118

FAQ

What's the Least Common Multiple (LCM) of 121 and 144?

LCM of 121 and 144 is 17,424

How to find the LCM of 121 and 144 using prime factorization?

To find the LCM of 121 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 17,424.

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 144: LCM = 17,424, GCF = 1.

See Also