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Least Common Multiple (LCM) of 19 and 91

The least common multiple (LCM) of 19 and 91 is 1729.

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 91?

First, calculate the GCD of 19 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 19 ÷ 91 = 0 remainder 19
2 91 ÷ 19 = 4 remainder 15
3 19 ÷ 15 = 1 remainder 4
4 15 ÷ 4 = 3 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
117 and 384446
181 and 19435114
82 and 261066
11 and 1591749
194 and 868342

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