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Least Common Multiple (LCM) of 151 and 44

The least common multiple (LCM) of 151 and 44 is 6644.

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 151 and 44?

First, calculate the GCD of 151 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 151 ÷ 44 = 3 remainder 19
2 44 ÷ 19 = 2 remainder 6
3 19 ÷ 6 = 3 remainder 1
4 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
182 and 631638
186 and 686324
39 and 943666
186 and 842604
135 and 1201080

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