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Least Common Multiple (LCM) of 109 and 121

The least common multiple (LCM) of 109 and 121 is 13189.

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 109 and 121?

First, calculate the GCD of 109 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 109 ÷ 121 = 0 remainder 109
2 121 ÷ 109 = 1 remainder 12
3 109 ÷ 12 = 9 remainder 1
4 12 ÷ 1 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
44 and 77308
37 and 1495513
124 and 1589796
20 and 1332660
197 and 15630732

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