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Least Common Multiple (LCM) of 99 and 21

The least common multiple (LCM) of 99 and 21 is 693.

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 99 and 21?

First, calculate the GCD of 99 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 99 ÷ 21 = 4 remainder 15
2 21 ÷ 15 = 1 remainder 6
3 15 ÷ 6 = 2 remainder 3
4 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
62 and 882728
121 and 647744
155 and 16124955
71 and 342414
154 and 1681848

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