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Least Common Multiple (LCM) of 187 and 189

The least common multiple (LCM) of 187 and 189 is 35343.

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 187 and 189?

First, calculate the GCD of 187 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 187 ÷ 189 = 0 remainder 187
2 189 ÷ 187 = 1 remainder 2
3 187 ÷ 2 = 93 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
112 and 1484144
185 and 8716095
82 and 1445904
151 and 548154
198 and 201980

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