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Least Common Multiple (LCM) of 151 and 101

The least common multiple (LCM) of 151 and 101 is 15251.

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 101?

First, calculate the GCD of 151 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 151 ÷ 101 = 1 remainder 50
2 101 ÷ 50 = 2 remainder 1
3 50 ÷ 1 = 50 remainder 0

Examples of LCM Calculations

NumbersLCM
43 and 1878041
172 and 539116
197 and 13626792
131 and 526812
55 and 17935

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