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Least Common Multiple (LCM) of 170 and 43

The least common multiple (LCM) of 170 and 43 is 7310.

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 43?

First, calculate the GCD of 170 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 170 ÷ 43 = 3 remainder 41
2 43 ÷ 41 = 1 remainder 2
3 41 ÷ 2 = 20 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
74 and 14911026
53 and 191007
24 and 22264
80 and 917280
23 and 1894347

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