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Least Common Multiple (LCM) of 178 and 170

The least common multiple (LCM) of 178 and 170 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 178 and 170?

First, calculate the GCD of 178 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 170 = 1 remainder 8
2 170 ÷ 8 = 21 remainder 2
3 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
163 and 15625428
74 and 19114134
150 and 211050
28 and 27756
108 and 864644

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