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Least Common Multiple (LCM) of 178 and 168

The least common multiple (LCM) of 178 and 168 is 14952.

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 168?

First, calculate the GCD of 178 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 168 = 1 remainder 10
2 168 ÷ 10 = 16 remainder 8
3 10 ÷ 8 = 1 remainder 2
4 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
188 and 13725756
161 and 558855
196 and 16933124
37 and 1796623
191 and 13125021

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