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Least Common Multiple (LCM) of 93 and 72

The least common multiple (LCM) of 93 and 72 is 2232.

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 93 and 72?

First, calculate the GCD of 93 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 93 ÷ 72 = 1 remainder 21
2 72 ÷ 21 = 3 remainder 9
3 21 ÷ 9 = 2 remainder 3
4 9 ÷ 3 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
152 and 114456
34 and 1322244
65 and 664290
197 and 14027580
78 and 48624

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