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Least Common Multiple (LCM) of 16 and 21

The least common multiple (LCM) of 16 and 21 is 336.

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 21?

First, calculate the GCD of 16 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 16 ÷ 21 = 0 remainder 16
2 21 ÷ 16 = 1 remainder 5
3 16 ÷ 5 = 3 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
177 and 17330621
29 and 1143306
80 and 1041040
100 and 111100
72 and 1361224

Try Calculating LCM of Other Numbers







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