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Least Common Multiple (LCM) of 186 and 118

The least common multiple (LCM) of 186 and 118 is 10974.

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 186 and 118?

First, calculate the GCD of 186 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 186 ÷ 118 = 1 remainder 68
2 118 ÷ 68 = 1 remainder 50
3 68 ÷ 50 = 1 remainder 18
4 50 ÷ 18 = 2 remainder 14
5 18 ÷ 14 = 1 remainder 4
6 14 ÷ 4 = 3 remainder 2
7 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
89 and 585162
47 and 673149
104 and 12513000
80 and 1239840
174 and 1538874

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