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Least Common Multiple (LCM) of 121 and 178

The least common multiple (LCM) of 121 and 178 is 21538.

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 121 and 178?

First, calculate the GCD of 121 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 121 ÷ 178 = 0 remainder 121
2 178 ÷ 121 = 1 remainder 57
3 121 ÷ 57 = 2 remainder 7
4 57 ÷ 7 = 8 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
106 and 778162
190 and 18417480
188 and 2009400
182 and 14212922
62 and 702170

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