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Least Common Multiple (LCM) of 23 and 114

The least common multiple (LCM) of 23 and 114 is 2622.

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 23 and 114?

First, calculate the GCD of 23 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 23 ÷ 114 = 0 remainder 23
2 114 ÷ 23 = 4 remainder 22
3 23 ÷ 22 = 1 remainder 1
4 22 ÷ 1 = 22 remainder 0

Examples of LCM Calculations

NumbersLCM
16 and 1381104
73 and 1279271
193 and 8716791
189 and 7614364
73 and 876351

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