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Least Common Multiple (LCM) of 93 and 61

The least common multiple (LCM) of 93 and 61 is 5673.

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 61?

First, calculate the GCD of 93 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 93 ÷ 61 = 1 remainder 32
2 61 ÷ 32 = 1 remainder 29
3 32 ÷ 29 = 1 remainder 3
4 29 ÷ 3 = 9 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
68 and 13884
15 and 7575
170 and 14724990
55 and 20220
168 and 2004200

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