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Least Common Multiple (LCM) of 73 and 100

The least common multiple (LCM) of 73 and 100 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 73 and 100?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
48 and 1557440
71 and 14410224
155 and 6810540
13 and 61793
45 and 1346030

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