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Least Common Multiple (LCM) of 170 and 76

The least common multiple (LCM) of 170 and 76 is 6460.

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 76?

First, calculate the GCD of 170 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 170 ÷ 76 = 2 remainder 18
2 76 ÷ 18 = 4 remainder 4
3 18 ÷ 4 = 4 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
91 and 12811648
176 and 1211936
199 and 9919701
199 and 6913731
53 and 432279

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