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Least Common Multiple (LCM) of 88 and 106

The least common multiple (LCM) of 88 and 106 is 4664.

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 88 and 106?

First, calculate the GCD of 88 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 88 ÷ 106 = 0 remainder 88
2 106 ÷ 88 = 1 remainder 18
3 88 ÷ 18 = 4 remainder 16
4 18 ÷ 16 = 1 remainder 2
5 16 ÷ 2 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
47 and 411927
159 and 294611
83 and 14912367
15 and 741110
73 and 201460

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