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Least Common Multiple (LCM) of 124 and 118

The least common multiple (LCM) of 124 and 118 is 7316.

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 124 and 118?

First, calculate the GCD of 124 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 124 ÷ 118 = 1 remainder 6
2 118 ÷ 6 = 19 remainder 4
3 6 ÷ 4 = 1 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
18 and 1901710
75 and 631575
37 and 1876919
130 and 15390
50 and 521300

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