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Least Common Multiple (LCM) of 175 and 130

The least common multiple (LCM) of 175 and 130 is 4550.

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 130?

First, calculate the GCD of 175 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 175 ÷ 130 = 1 remainder 45
2 130 ÷ 45 = 2 remainder 40
3 45 ÷ 40 = 1 remainder 5
4 40 ÷ 5 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
63 and 2163
47 and 663102
92 and 904140
70 and 1083780
196 and 1165684

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