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Least Common Multiple (LCM) of 33 and 42

The least common multiple (LCM) of 33 and 42 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 42?

First, calculate the GCD of 33 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 33 ÷ 42 = 0 remainder 33
2 42 ÷ 33 = 1 remainder 9
3 33 ÷ 9 = 3 remainder 6
4 9 ÷ 6 = 1 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
26 and 932418
47 and 803760
132 and 1681848
63 and 1288064
136 and 9913464

Try Calculating LCM of Other Numbers







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