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Least Common Multiple (LCM) of 56 and 19

The least common multiple (LCM) of 56 and 19 is 1064.

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 56 and 19?

First, calculate the GCD of 56 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 56 ÷ 19 = 2 remainder 18
2 19 ÷ 18 = 1 remainder 1
3 18 ÷ 1 = 18 remainder 0

Examples of LCM Calculations

NumbersLCM
159 and 16926871
141 and 436063
85 and 363060
72 and 28504
60 and 1741740

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