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Least Common Multiple (LCM) of 56 and 106

The least common multiple (LCM) of 56 and 106 is 2968.

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 56 and 106?

First, calculate the GCD of 56 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 56 ÷ 106 = 0 remainder 56
2 106 ÷ 56 = 1 remainder 50
3 56 ÷ 50 = 1 remainder 6
4 50 ÷ 6 = 8 remainder 2
5 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
86 and 944042
94 and 1527144
108 and 10540
69 and 1097521
20 and 891780

Try Calculating LCM of Other Numbers







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