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Least Common Multiple (LCM) of 114 and 151

The least common multiple (LCM) of 114 and 151 is 17214.

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 114 and 151?

First, calculate the GCD of 114 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 114 ÷ 151 = 0 remainder 114
2 151 ÷ 114 = 1 remainder 37
3 114 ÷ 37 = 3 remainder 3
4 37 ÷ 3 = 12 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
109 and 13014170
15 and 29435
108 and 14756
59 and 603540
20 and 1221220

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