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Least Common Multiple (LCM) of 95 and 61

The least common multiple (LCM) of 95 and 61 is 5795.

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 61?

First, calculate the GCD of 95 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 95 ÷ 61 = 1 remainder 34
2 61 ÷ 34 = 1 remainder 27
3 34 ÷ 27 = 1 remainder 7
4 27 ÷ 7 = 3 remainder 6
5 7 ÷ 6 = 1 remainder 1
6 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
89 and 968544
44 and 1721892
197 and 15029550
126 and 18126
68 and 19112988

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