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Least Common Multiple (LCM) of 175 and 88

The least common multiple (LCM) of 175 and 88 is 15400.

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 88?

First, calculate the GCD of 175 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 175 ÷ 88 = 1 remainder 87
2 88 ÷ 87 = 1 remainder 1
3 87 ÷ 1 = 87 remainder 0

Examples of LCM Calculations

NumbersLCM
176 and 24528
59 and 19711623
172 and 8514620
74 and 111222
167 and 9115197

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