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Least Common Multiple (LCM) of 175 and 75

The least common multiple (LCM) of 175 and 75 is 525.

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 175 and 75?

First, calculate the GCD of 175 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 175 ÷ 75 = 2 remainder 25
2 75 ÷ 25 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
167 and 315177
107 and 838881
44 and 26572
57 and 714047
130 and 1201560

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