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Least Common Multiple (LCM) of 170 and 178

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

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
34 and 1755950
108 and 14515660
181 and 15728417
119 and 771309
193 and 15129143

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