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Least Common Multiple (LCM) of 104 and 66

The least common multiple (LCM) of 104 and 66 is 3432.

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 104 and 66?

First, calculate the GCD of 104 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 104 ÷ 66 = 1 remainder 38
2 66 ÷ 38 = 1 remainder 28
3 38 ÷ 28 = 1 remainder 10
4 28 ÷ 10 = 2 remainder 8
5 10 ÷ 8 = 1 remainder 2
6 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
26 and 54702
38 and 1883572
28 and 104728
40 and 1937720
183 and 1509150

Try Calculating LCM of Other Numbers







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