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Least Common Multiple (LCM) of 125 and 90

The least common multiple (LCM) of 125 and 90 is 2250.

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 90?

First, calculate the GCD of 125 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 90 = 1 remainder 35
2 90 ÷ 35 = 2 remainder 20
3 35 ÷ 20 = 1 remainder 15
4 20 ÷ 15 = 1 remainder 5
5 15 ÷ 5 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
151 and 19329143
160 and 12610080
81 and 614941
159 and 19330687
19 and 1913629

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