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Least Common Multiple (LCM) of 25 and 188

The least common multiple (LCM) of 25 and 188 is 4700.

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 25 and 188?

First, calculate the GCD of 25 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 25 ÷ 188 = 0 remainder 25
2 188 ÷ 25 = 7 remainder 13
3 25 ÷ 13 = 1 remainder 12
4 13 ÷ 12 = 1 remainder 1
5 12 ÷ 1 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
141 and 354935
184 and 666072
31 and 441364
131 and 15119781
132 and 60660

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