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Least Common Multiple (LCM) of 102 and 88

The least common multiple (LCM) of 102 and 88 is 4488.

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 102 and 88?

First, calculate the GCD of 102 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 102 ÷ 88 = 1 remainder 14
2 88 ÷ 14 = 6 remainder 4
3 14 ÷ 4 = 3 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
106 and 15316218
196 and 8717052
96 and 11911424
183 and 5910797
121 and 13516335

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