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Least Common Multiple (LCM) of 152 and 58

The least common multiple (LCM) of 152 and 58 is 4408.

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 58?

First, calculate the GCD of 152 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 152 ÷ 58 = 2 remainder 36
2 58 ÷ 36 = 1 remainder 22
3 36 ÷ 22 = 1 remainder 14
4 22 ÷ 14 = 1 remainder 8
5 14 ÷ 8 = 1 remainder 6
6 8 ÷ 6 = 1 remainder 2
7 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
90 and 1245580
83 and 15713031
57 and 20011400
18 and 831494
97 and 494753

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