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Least Common Multiple (LCM) of 122 and 55

The least common multiple (LCM) of 122 and 55 is 6710.

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 122 and 55?

First, calculate the GCD of 122 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 122 ÷ 55 = 2 remainder 12
2 55 ÷ 12 = 4 remainder 7
3 12 ÷ 7 = 1 remainder 5
4 7 ÷ 5 = 1 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
62 and 983038
26 and 451170
195 and 7314235
85 and 19316405
45 and 1125040

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