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Least Common Multiple (LCM) of 16 and 91

The least common multiple (LCM) of 16 and 91 is 1456.

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 91?

First, calculate the GCD of 16 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 16 ÷ 91 = 0 remainder 16
2 91 ÷ 16 = 5 remainder 11
3 16 ÷ 11 = 1 remainder 5
4 11 ÷ 5 = 2 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
67 and 19613132
26 and 14182
68 and 1482516
13 and 70910
159 and 284452

Try Calculating LCM of Other Numbers







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