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Least Common Multiple (LCM) of 113 and 57

The least common multiple (LCM) of 113 and 57 is 6441.

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 113 and 57?

First, calculate the GCD of 113 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 113 ÷ 57 = 1 remainder 56
2 57 ÷ 56 = 1 remainder 1
3 56 ÷ 1 = 56 remainder 0

Examples of LCM Calculations

NumbersLCM
11 and 1561716
154 and 15812166
66 and 2266
65 and 1328580
128 and 15720096

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