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Least Common Multiple (LCM) of 99 and 43

The least common multiple (LCM) of 99 and 43 is 4257.

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 43?

First, calculate the GCD of 99 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 99 ÷ 43 = 2 remainder 13
2 43 ÷ 13 = 3 remainder 4
3 13 ÷ 4 = 3 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
145 and 18827260
166 and 6711122
19 and 9595
189 and 8015120
57 and 1683192

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