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Least Common Multiple (LCM) of 175 and 51

The least common multiple (LCM) of 175 and 51 is 8925.

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 51?

First, calculate the GCD of 175 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 175 ÷ 51 = 3 remainder 22
2 51 ÷ 22 = 2 remainder 7
3 22 ÷ 7 = 3 remainder 1
4 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
45 and 60180
33 and 1711881
76 and 1118436
111 and 11612876
137 and 324384

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