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Least Common Multiple (LCM) of 186 and 158

The least common multiple (LCM) of 186 and 158 is 14694.

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 158?

First, calculate the GCD of 186 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 186 ÷ 158 = 1 remainder 28
2 158 ÷ 28 = 5 remainder 18
3 28 ÷ 18 = 1 remainder 10
4 18 ÷ 10 = 1 remainder 8
5 10 ÷ 8 = 1 remainder 2
6 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
62 and 1665146
126 and 885544
93 and 807440
18 and 144144
85 and 13711645

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