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Least Common Multiple (LCM) of 28 and 175

The least common multiple (LCM) of 28 and 175 is 700.

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 28 and 175?

First, calculate the GCD of 28 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 175 = 0 remainder 28
2 175 ÷ 28 = 6 remainder 7
3 28 ÷ 7 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
92 and 1627452
160 and 852720
108 and 681836
22 and 16176
185 and 17432190

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