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Least Common Multiple (LCM) of 170 and 89

The least common multiple (LCM) of 170 and 89 is 15130.

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 89?

First, calculate the GCD of 170 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 170 ÷ 89 = 1 remainder 81
2 89 ÷ 81 = 1 remainder 8
3 81 ÷ 8 = 10 remainder 1
4 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
97 and 151455
121 and 404840
165 and 10717655
27 and 22594
169 and 9015210

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