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Least Common Multiple (LCM) of 100 and 73

The least common multiple (LCM) of 100 and 73 is 7300.

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 100 and 73?

First, calculate the GCD of 100 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 100 ÷ 73 = 1 remainder 27
2 73 ÷ 27 = 2 remainder 19
3 27 ÷ 19 = 1 remainder 8
4 19 ÷ 8 = 2 remainder 3
5 8 ÷ 3 = 2 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
29 and 1574553
150 and 765700
171 and 541026
117 and 11513455
163 and 467498

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