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Least Common Multiple (LCM) of 160 and 130

The least common multiple (LCM) of 160 and 130 is 2080.

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 160 and 130?

First, calculate the GCD of 160 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 160 ÷ 130 = 1 remainder 30
2 130 ÷ 30 = 4 remainder 10
3 30 ÷ 10 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
128 and 503200
129 and 632709
199 and 9518905
100 and 1185900
148 and 503700

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