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Least Common Multiple (LCM) of 186 and 151

The least common multiple (LCM) of 186 and 151 is 28086.

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 151?

First, calculate the GCD of 186 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 186 ÷ 151 = 1 remainder 35
2 151 ÷ 35 = 4 remainder 11
3 35 ÷ 11 = 3 remainder 2
4 11 ÷ 2 = 5 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
74 and 843108
101 and 12412524
198 and 17711682
56 and 49392
52 and 995148

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