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Least Common Multiple (LCM) of 19 and 66

The least common multiple (LCM) of 19 and 66 is 1254.

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 66?

First, calculate the GCD of 19 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 19 ÷ 66 = 0 remainder 19
2 66 ÷ 19 = 3 remainder 9
3 19 ÷ 9 = 2 remainder 1
4 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
179 and 19635084
127 and 15719939
17 and 1612737
160 and 745920
151 and 9614496

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