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Least Common Multiple (LCM) of 73 and 133

The least common multiple (LCM) of 73 and 133 is 9709.

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 73 and 133?

First, calculate the GCD of 73 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 73 ÷ 133 = 0 remainder 73
2 133 ÷ 73 = 1 remainder 60
3 73 ÷ 60 = 1 remainder 13
4 60 ÷ 13 = 4 remainder 8
5 13 ÷ 8 = 1 remainder 5
6 8 ÷ 5 = 1 remainder 3
7 5 ÷ 3 = 1 remainder 2
8 3 ÷ 2 = 1 remainder 1
9 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
167 and 8313861
98 and 757350
152 and 826232
151 and 527852
40 and 18360

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