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Least Common Multiple (LCM) of 92 and 189

The least common multiple (LCM) of 92 and 189 is 17388.

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 92 and 189?

First, calculate the GCD of 92 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 92 ÷ 189 = 0 remainder 92
2 189 ÷ 92 = 2 remainder 5
3 92 ÷ 5 = 18 remainder 2
4 5 ÷ 2 = 2 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
47 and 1145358
36 and 1641476
168 and 1562184
33 and 381254
135 and 1253375

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