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Least Common Multiple (LCM) of 189 and 62

The least common multiple (LCM) of 189 and 62 is 11718.

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 189 and 62?

First, calculate the GCD of 189 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 189 ÷ 62 = 3 remainder 3
2 62 ÷ 3 = 20 remainder 2
3 3 ÷ 2 = 1 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
49 and 63441
21 and 1453045
186 and 17215996
166 and 152490
178 and 11921182

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