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Least Common Multiple (LCM) of 25 and 83

The least common multiple (LCM) of 25 and 83 is 2075.

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 83?

First, calculate the GCD of 25 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 25 ÷ 83 = 0 remainder 25
2 83 ÷ 25 = 3 remainder 8
3 25 ÷ 8 = 3 remainder 1
4 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
88 and 11510120
150 and 161200
145 and 12718415
28 and 1502100
61 and 573477

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