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Least Common Multiple (LCM) of 59 and 19

The least common multiple (LCM) of 59 and 19 is 1121.

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 59 and 19?

First, calculate the GCD of 59 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 59 ÷ 19 = 3 remainder 2
2 19 ÷ 2 = 9 remainder 1
3 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
161 and 10817388
60 and 6060
53 and 1578321
77 and 1189086
186 and 1479114

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