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Least Common Multiple (LCM) of 168 and 186

The least common multiple (LCM) of 168 and 186 is 5208.

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 168 and 186?

First, calculate the GCD of 168 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 168 ÷ 186 = 0 remainder 168
2 186 ÷ 168 = 1 remainder 18
3 168 ÷ 18 = 9 remainder 6
4 18 ÷ 6 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
81 and 1143078
69 and 1097521
30 and 531590
20 and 188940
164 and 8313612

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