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Least Common Multiple (LCM) of 158 and 59

The least common multiple (LCM) of 158 and 59 is 9322.

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 158 and 59?

First, calculate the GCD of 158 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 158 ÷ 59 = 2 remainder 40
2 59 ÷ 40 = 1 remainder 19
3 40 ÷ 19 = 2 remainder 2
4 19 ÷ 2 = 9 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
70 and 1701190
76 and 114228
53 and 854505
40 and 192960
179 and 213759

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