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Least Common Multiple (LCM) of 95 and 88

The least common multiple (LCM) of 95 and 88 is 8360.

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 95 and 88?

First, calculate the GCD of 95 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 95 ÷ 88 = 1 remainder 7
2 88 ÷ 7 = 12 remainder 4
3 7 ÷ 4 = 1 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
160 and 584640
41 and 441804
171 and 162736
102 and 1682856
49 and 1698281

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