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Least Common Multiple (LCM) of 10 and 73

The least common multiple (LCM) of 10 and 73 is 730.

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 10 and 73?

First, calculate the GCD of 10 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 10 ÷ 73 = 0 remainder 10
2 73 ÷ 10 = 7 remainder 3
3 10 ÷ 3 = 3 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
15 and 921380
156 and 331716
110 and 18810340
142 and 12918318
126 and 658190

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