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Least Common Multiple (LCM) of 127 and 33

The least common multiple (LCM) of 127 and 33 is 4191.

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 127 and 33?

First, calculate the GCD of 127 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 127 ÷ 33 = 3 remainder 28
2 33 ÷ 28 = 1 remainder 5
3 28 ÷ 5 = 5 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
137 and 16222194
59 and 118118
129 and 301290
173 and 356055
21 and 168168

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