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Least Common Multiple (LCM) of 74 and 45

The least common multiple (LCM) of 74 and 45 is 3330.

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 74 and 45?

First, calculate the GCD of 74 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 74 ÷ 45 = 1 remainder 29
2 45 ÷ 29 = 1 remainder 16
3 29 ÷ 16 = 1 remainder 13
4 16 ÷ 13 = 1 remainder 3
5 13 ÷ 3 = 4 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
192 and 6712864
116 and 718236
72 and 1761584
19 and 911729
104 and 1588216

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