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Least Common Multiple (LCM) of 67 and 124

The least common multiple (LCM) of 67 and 124 is 8308.

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 67 and 124?

First, calculate the GCD of 67 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 67 ÷ 124 = 0 remainder 67
2 124 ÷ 67 = 1 remainder 57
3 67 ÷ 57 = 1 remainder 10
4 57 ÷ 10 = 5 remainder 7
5 10 ÷ 7 = 1 remainder 3
6 7 ÷ 3 = 2 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
161 and 203220
175 and 15927825
83 and 1058715
55 and 1226710
137 and 293973

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