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Least Common Multiple (LCM) of 127 and 115

The least common multiple (LCM) of 127 and 115 is 14605.

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 127 and 115?

First, calculate the GCD of 127 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 127 ÷ 115 = 1 remainder 12
2 115 ÷ 12 = 9 remainder 7
3 12 ÷ 7 = 1 remainder 5
4 7 ÷ 5 = 1 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
68 and 17511900
118 and 10312154
55 and 19410670
129 and 14218318
87 and 1018787

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