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Least Common Multiple (LCM) of 15 and 73

The least common multiple (LCM) of 15 and 73 is 1095.

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 15 and 73?

First, calculate the GCD of 15 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 15 ÷ 73 = 0 remainder 15
2 73 ÷ 15 = 4 remainder 13
3 15 ÷ 13 = 1 remainder 2
4 13 ÷ 2 = 6 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
149 and 13119519
35 and 115805
156 and 452340
125 and 15375
112 and 56112

Try Calculating LCM of Other Numbers







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