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Least Common Multiple (LCM) of 116 and 16

The least common multiple (LCM) of 116 and 16 is 464.

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 116 and 16?

First, calculate the GCD of 116 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 16 = 7 remainder 4
2 16 ÷ 4 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
51 and 1035253
64 and 921472
151 and 15523405
109 and 10311227
97 and 18918333

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