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Least Common Multiple (LCM) of 11 and 93

The least common multiple (LCM) of 11 and 93 is 1023.

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 11 and 93?

First, calculate the GCD of 11 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 11 ÷ 93 = 0 remainder 11
2 93 ÷ 11 = 8 remainder 5
3 11 ÷ 5 = 2 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
96 and 56672
127 and 364572
148 and 8111988
146 and 18326718
55 and 1276985

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