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Least Common Multiple (LCM) of 145 and 125

The least common multiple (LCM) of 145 and 125 is 3625.

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 145 and 125?

First, calculate the GCD of 145 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 145 ÷ 125 = 1 remainder 20
2 125 ÷ 20 = 6 remainder 5
3 20 ÷ 5 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
190 and 10720330
180 and 211260
46 and 1135198
162 and 661782
112 and 1821456

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