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Least Common Multiple (LCM) of 66 and 74

The least common multiple (LCM) of 66 and 74 is 2442.

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 66 and 74?

First, calculate the GCD of 66 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 66 ÷ 74 = 0 remainder 66
2 74 ÷ 66 = 1 remainder 8
3 66 ÷ 8 = 8 remainder 2
4 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
120 and 1142280
158 and 18214378
56 and 1761232
10 and 186930
192 and 935952

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