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Least Common Multiple (LCM) of 123 and 152

The least common multiple (LCM) of 123 and 152 is 18696.

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 123 and 152?

First, calculate the GCD of 123 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 123 ÷ 152 = 0 remainder 123
2 152 ÷ 123 = 1 remainder 29
3 123 ÷ 29 = 4 remainder 7
4 29 ÷ 7 = 4 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
193 and 19838214
103 and 17818334
41 and 1747134
172 and 17730444
182 and 234186

Try Calculating LCM of Other Numbers







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