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Least Common Multiple (LCM) of 33 and 14

The least common multiple (LCM) of 33 and 14 is 462.

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 33 and 14?

First, calculate the GCD of 33 and 14 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 33 ÷ 14 = 2 remainder 5
2 14 ÷ 5 = 2 remainder 4
3 5 ÷ 4 = 1 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
112 and 16718704
26 and 1326
20 and 14140
143 and 202860
103 and 555665

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