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Least Common Multiple (LCM) of 189 and 95

The least common multiple (LCM) of 189 and 95 is 17955.

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 189 and 95?

First, calculate the GCD of 189 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 189 ÷ 95 = 1 remainder 94
2 95 ÷ 94 = 1 remainder 1
3 94 ÷ 1 = 94 remainder 0

Examples of LCM Calculations

NumbersLCM
30 and 115690
135 and 11315255
15 and 1515
117 and 1837137
58 and 1438294

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