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Least Common Multiple (LCM) of 10 and 170

The least common multiple (LCM) of 10 and 170 is 170.

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 10 and 170?

First, calculate the GCD of 10 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 10 ÷ 170 = 0 remainder 10
2 170 ÷ 10 = 17 remainder 0

Examples of LCM Calculations

NumbersLCM
175 and 16228350
180 and 19935820
18 and 591062
104 and 798216
137 and 10213974

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