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Least Common Multiple (LCM) of 19 and 166

The least common multiple (LCM) of 19 and 166 is 3154.

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 19 and 166?

First, calculate the GCD of 19 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 19 ÷ 166 = 0 remainder 19
2 166 ÷ 19 = 8 remainder 14
3 19 ÷ 14 = 1 remainder 5
4 14 ÷ 5 = 2 remainder 4
5 5 ÷ 4 = 1 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
84 and 1483108
37 and 823034
177 and 173009
17 and 761292
96 and 144288

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