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Least Common Multiple (LCM) of 66 and 116

The least common multiple (LCM) of 66 and 116 is 3828.

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 116?

First, calculate the GCD of 66 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 66 ÷ 116 = 0 remainder 66
2 116 ÷ 66 = 1 remainder 50
3 66 ÷ 50 = 1 remainder 16
4 50 ÷ 16 = 3 remainder 2
5 16 ÷ 2 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
42 and 57798
176 and 1968624
28 and 91364
150 and 19414550
142 and 19928258

Try Calculating LCM of Other Numbers







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