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Least Common Multiple (LCM) of 126 and 73

The least common multiple (LCM) of 126 and 73 is 9198.

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 126 and 73?

First, calculate the GCD of 126 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 126 ÷ 73 = 1 remainder 53
2 73 ÷ 53 = 1 remainder 20
3 53 ÷ 20 = 2 remainder 13
4 20 ÷ 13 = 1 remainder 7
5 13 ÷ 7 = 1 remainder 6
6 7 ÷ 6 = 1 remainder 1
7 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
29 and 651885
11 and 1041144
189 and 11822302
104 and 1909880
86 and 743182

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