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Least Common Multiple (LCM) of 28 and 74

The least common multiple (LCM) of 28 and 74 is 1036.

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 74?

First, calculate the GCD of 28 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 74 = 0 remainder 28
2 74 ÷ 28 = 2 remainder 18
3 28 ÷ 18 = 1 remainder 10
4 18 ÷ 10 = 1 remainder 8
5 10 ÷ 8 = 1 remainder 2
6 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
192 and 271728
101 and 404040
104 and 636552
174 and 19133234
192 and 17817088

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