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Least Common Multiple (LCM) of 95 and 102

The least common multiple (LCM) of 95 and 102 is 9690.

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 102?

First, calculate the GCD of 95 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 95 ÷ 102 = 0 remainder 95
2 102 ÷ 95 = 1 remainder 7
3 95 ÷ 7 = 13 remainder 4
4 7 ÷ 4 = 1 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
68 and 36612
51 and 10510
120 and 1863720
107 and 343638
155 and 467130

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