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Least Common Multiple (LCM) of 57 and 122

The least common multiple (LCM) of 57 and 122 is 6954.

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 57 and 122?

First, calculate the GCD of 57 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 57 ÷ 122 = 0 remainder 57
2 122 ÷ 57 = 2 remainder 8
3 57 ÷ 8 = 7 remainder 1
4 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
132 and 11132
119 and 16719873
89 and 292581
70 and 1786230
34 and 1013434

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