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Least Common Multiple (LCM) of 74 and 170

The least common multiple (LCM) of 74 and 170 is 6290.

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 74 and 170?

First, calculate the GCD of 74 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 74 ÷ 170 = 0 remainder 74
2 170 ÷ 74 = 2 remainder 22
3 74 ÷ 22 = 3 remainder 8
4 22 ÷ 8 = 2 remainder 6
5 8 ÷ 6 = 1 remainder 2
6 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
86 and 1466278
172 and 12321156
91 and 373367
60 and 40120
45 and 25225

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