LCM for 49 and 121

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What's the Least Common Multiple (LCM) of 49 and 121?

Answer

LCM of 49 and 121 is
5,929

(Five thousand nine hundred twenty-nine)

Finding LCM for 49 and 121 using GCF of these numbers

The first method to find LCM for numbers 49 and 121 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 49 and 121 is 1, so

LCM = (49 × 121) ÷ 1

LCM = 5,929 ÷ 1

LCM = 5,929

Finding LCM for 49 and 121 by Listing Multiples

The second method to find LCM for numbers 49 and 121 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 49: 49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735, 784, 833, 882, 931, 980, 1,029, 1,078, 1,127, 1,176, 1,225, 1,274, 1,323, 1,372, 1,421, 1,470, 1,519, 1,568, 1,617, 1,666, 1,715, 1,764, 1,813, 1,862, 1,911, 1,960, 2,009, 2,058, 2,107, 2,156, 2,205, 2,254, 2,303, 2,352, 2,401, 2,450, 2,499, 2,548, 2,597, 2,646, 2,695, 2,744, 2,793, 2,842, 2,891, 2,940, 2,989, 3,038, 3,087, 3,136, 3,185, 3,234, 3,283, 3,332, 3,381, 3,430, 3,479, 3,528, 3,577, 3,626, 3,675, 3,724, 3,773, 3,822, 3,871, 3,920, 3,969, 4,018, 4,067, 4,116, 4,165, 4,214, 4,263, 4,312, 4,361, 4,410, 4,459, 4,508, 4,557, 4,606, 4,655, 4,704, 4,753, 4,802, 4,851, 4,900, 4,949, 4,998, 5,047, 5,096, 5,145, 5,194, 5,243, 5,292, 5,341, 5,390, 5,439, 5,488, 5,537, 5,586, 5,635, 5,684, 5,733, 5,782, 5,831, 5,880, 5,929, 5,978, 6,027

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

So the LCM for 49 and 121 is 5,929

Finding LCM for 49 and 121 by Prime Factorization

Another method to find LCM for numbers 49 and 121 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 49: 7, 7 (exponent form: 72)

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

72 × 112 = 5,929

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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 49 and 121? (The answer is: 5,929). Select the first number (e.g. '49') and the second number (e.g. '121'). 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
491065,194
491075,243
491085,292
491095,341
491105,390
491115,439
49112784
491135,537
491145,586
491155,635
491165,684
491175,733
491185,782
49119833
491205,880
491215,929
491225,978
491236,027
491246,076
491256,125
49126882
491276,223
491286,272
491296,321
491306,370
491316,419
491326,468
49133931
491346,566
491356,615

FAQ

What's the Least Common Multiple (LCM) of 49 and 121?

LCM of 49 and 121 is 5,929

How to find the LCM of 49 and 121 using prime factorization?

To find the LCM of 49 and 121, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 5,929.

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 49 and 121: LCM = 5,929, GCF = 1.

See Also