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Least Common Multiple (LCM) of 105 and 130

The least common multiple (LCM) of 105 and 130 is 2730.

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 105 and 130?

First, calculate the GCD of 105 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 105 ÷ 130 = 0 remainder 105
2 130 ÷ 105 = 1 remainder 25
3 105 ÷ 25 = 4 remainder 5
4 25 ÷ 5 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
200 and 377400
66 and 45990
63 and 472961
143 and 101430
183 and 18433672

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