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Least Common Multiple (LCM) of 125 and 170

The least common multiple (LCM) of 125 and 170 is 4250.

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 125 and 170?

First, calculate the GCD of 125 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 170 = 0 remainder 125
2 170 ÷ 125 = 1 remainder 45
3 125 ÷ 45 = 2 remainder 35
4 45 ÷ 35 = 1 remainder 10
5 35 ÷ 10 = 3 remainder 5
6 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
188 and 16215228
171 and 15726847
150 and 1082700
68 and 19112988
133 and 19325669

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