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Least Common Multiple (LCM) of 124 and 68

The least common multiple (LCM) of 124 and 68 is 2108.

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 68?

First, calculate the GCD of 124 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 124 ÷ 68 = 1 remainder 56
2 68 ÷ 56 = 1 remainder 12
3 56 ÷ 12 = 4 remainder 8
4 12 ÷ 8 = 1 remainder 4
5 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
169 and 17329237
194 and 11010670
46 and 753450
141 and 18526085
22 and 6666

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