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Least Common Multiple (LCM) of 42 and 99

The least common multiple (LCM) of 42 and 99 is 1386.

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 42 and 99?

First, calculate the GCD of 42 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 42 ÷ 99 = 0 remainder 42
2 99 ÷ 42 = 2 remainder 15
3 42 ÷ 15 = 2 remainder 12
4 15 ÷ 12 = 1 remainder 3
5 12 ÷ 3 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
195 and 18135295
199 and 16633034
197 and 112167
104 and 19410088
76 and 715396

Try Calculating LCM of Other Numbers







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