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Least Common Multiple (LCM) of 10 and 16

The least common multiple (LCM) of 10 and 16 is 80.

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 10 and 16?

First, calculate the GCD of 10 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 10 ÷ 16 = 0 remainder 10
2 16 ÷ 10 = 1 remainder 6
3 10 ÷ 6 = 1 remainder 4
4 6 ÷ 4 = 1 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
189 and 1388694
192 and 120960
86 and 803440
139 and 283892
96 and 984704

Try Calculating LCM of Other Numbers







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