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Least Common Multiple (LCM) of 152 and 99

The least common multiple (LCM) of 152 and 99 is 15048.

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 152 and 99?

First, calculate the GCD of 152 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 152 ÷ 99 = 1 remainder 53
2 99 ÷ 53 = 1 remainder 46
3 53 ÷ 46 = 1 remainder 7
4 46 ÷ 7 = 6 remainder 4
5 7 ÷ 4 = 1 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
189 and 694347
160 and 19415520
85 and 221870
45 and 85765
84 and 641344

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