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Least Common Multiple (LCM) of 170 and 130

The least common multiple (LCM) of 170 and 130 is 2210.

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 170 and 130?

First, calculate the GCD of 170 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 170 ÷ 130 = 1 remainder 40
2 130 ÷ 40 = 3 remainder 10
3 40 ÷ 10 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
93 and 111023
22 and 1281408
135 and 739855
10 and 1211210
15 and 41615

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