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Least Common Multiple (LCM) of 49 and 121

The least common multiple (LCM) of 49 and 121 is 5929.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 49 and 121?

First, calculate the GCD of 49 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 49 ÷ 121 = 0 remainder 49
2 121 ÷ 49 = 2 remainder 23
3 49 ÷ 23 = 2 remainder 3
4 23 ÷ 3 = 7 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
80 and 8080
69 and 15345
199 and 11723283
46 and 2004600
85 and 15813430

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