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Least Common Multiple (LCM) of 67 and 25

The least common multiple (LCM) of 67 and 25 is 1675.

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 67 and 25?

First, calculate the GCD of 67 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 67 ÷ 25 = 2 remainder 17
2 25 ÷ 17 = 1 remainder 8
3 17 ÷ 8 = 2 remainder 1
4 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
163 and 8013040
63 and 1441008
48 and 921104
22 and 36396
147 and 18427048

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