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Least Common Multiple (LCM) of 178 and 147

The least common multiple (LCM) of 178 and 147 is 26166.

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 147?

First, calculate the GCD of 178 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 147 = 1 remainder 31
2 147 ÷ 31 = 4 remainder 23
3 31 ÷ 23 = 1 remainder 8
4 23 ÷ 8 = 2 remainder 7
5 8 ÷ 7 = 1 remainder 1
6 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
69 and 19113179
25 and 38950
149 and 669834
26 and 1682184
60 and 472820

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