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Least Common Multiple (LCM) of 28 and 19

The least common multiple (LCM) of 28 and 19 is 532.

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 28 and 19?

First, calculate the GCD of 28 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 19 = 1 remainder 9
2 19 ÷ 9 = 2 remainder 1
3 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
78 and 1124368
25 and 661650
161 and 15124311
31 and 1103410
85 and 1602720

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