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Least Common Multiple (LCM) of 10 and 189

The least common multiple (LCM) of 10 and 189 is 1890.

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 10 and 189?

First, calculate the GCD of 10 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 10 ÷ 189 = 0 remainder 10
2 189 ÷ 10 = 18 remainder 9
3 10 ÷ 9 = 1 remainder 1
4 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
118 and 221298
39 and 622418
43 and 974171
10 and 47470
124 and 15919716

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