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Least Common Multiple (LCM) of 59 and 33

The least common multiple (LCM) of 59 and 33 is 1947.

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 59 and 33?

First, calculate the GCD of 59 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 59 ÷ 33 = 1 remainder 26
2 33 ÷ 26 = 1 remainder 7
3 26 ÷ 7 = 3 remainder 5
4 7 ÷ 5 = 1 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
82 and 1686888
167 and 19332231
185 and 37185
186 and 12211346
45 and 144720

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