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Least Common Multiple (LCM) of 158 and 17

The least common multiple (LCM) of 158 and 17 is 2686.

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 17?

First, calculate the GCD of 158 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 158 ÷ 17 = 9 remainder 5
2 17 ÷ 5 = 3 remainder 2
3 5 ÷ 2 = 2 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
156 and 1766864
200 and 5310600
100 and 80400
101 and 797979
85 and 211785

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