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Least Common Multiple (LCM) of 114 and 96

The least common multiple (LCM) of 114 and 96 is 1824.

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 114 and 96?

First, calculate the GCD of 114 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 114 ÷ 96 = 1 remainder 18
2 96 ÷ 18 = 5 remainder 6
3 18 ÷ 6 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
104 and 18519240
109 and 18420056
110 and 1871870
180 and 14325740
60 and 1584740

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