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Least Common Multiple (LCM) of 49 and 25

The least common multiple (LCM) of 49 and 25 is 1225.

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 49 and 25?

First, calculate the GCD of 49 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 49 ÷ 25 = 1 remainder 24
2 25 ÷ 24 = 1 remainder 1
3 24 ÷ 1 = 24 remainder 0

Examples of LCM Calculations

NumbersLCM
138 and 7310074
193 and 7915247
98 and 1447056
58 and 1524408
194 and 868342

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