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Least Common Multiple (LCM) of 138 and 58

The least common multiple (LCM) of 138 and 58 is 4002.

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 138 and 58?

First, calculate the GCD of 138 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 138 ÷ 58 = 2 remainder 22
2 58 ÷ 22 = 2 remainder 14
3 22 ÷ 14 = 1 remainder 8
4 14 ÷ 8 = 1 remainder 6
5 8 ÷ 6 = 1 remainder 2
6 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
19 and 1092071
198 and 565544
165 and 1454785
162 and 685508
119 and 1893213

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