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Least Common Multiple (LCM) of 67 and 178

The least common multiple (LCM) of 67 and 178 is 11926.

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 67 and 178?

First, calculate the GCD of 67 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 67 ÷ 178 = 0 remainder 67
2 178 ÷ 67 = 2 remainder 44
3 67 ÷ 44 = 1 remainder 23
4 44 ÷ 23 = 1 remainder 21
5 23 ÷ 21 = 1 remainder 2
6 21 ÷ 2 = 10 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
87 and 917917
168 and 120840
103 and 19820394
98 and 272646
118 and 118118

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