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Least Common Multiple (LCM) of 88 and 99

The least common multiple (LCM) of 88 and 99 is 792.

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 88 and 99?

First, calculate the GCD of 88 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 88 ÷ 99 = 0 remainder 88
2 99 ÷ 88 = 1 remainder 11
3 88 ÷ 11 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
131 and 9011790
80 and 19315440
126 and 1401260
165 and 1146270
59 and 1267434

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