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Least Common Multiple (LCM) of 16 and 116

The least common multiple (LCM) of 16 and 116 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 16 and 116?

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

Step-by-Step GCD Calculation

StepCalculation
1 16 ÷ 116 = 0 remainder 16
2 116 ÷ 16 = 7 remainder 4
3 16 ÷ 4 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
57 and 1066042
119 and 546426
15 and 43645
13 and 59767
159 and 7311607

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