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Least Common Multiple (LCM) of 118 and 99

The least common multiple (LCM) of 118 and 99 is 11682.

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 118 and 99?

First, calculate the GCD of 118 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 118 ÷ 99 = 1 remainder 19
2 99 ÷ 19 = 5 remainder 4
3 19 ÷ 4 = 4 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
145 and 15622620
130 and 536890
172 and 14524940
101 and 14114241
74 and 1264662

Try Calculating LCM of Other Numbers







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