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Least Common Multiple (LCM) of 106 and 33

The least common multiple (LCM) of 106 and 33 is 3498.

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 106 and 33?

First, calculate the GCD of 106 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 106 ÷ 33 = 3 remainder 7
2 33 ÷ 7 = 4 remainder 5
3 7 ÷ 5 = 1 remainder 2
4 5 ÷ 2 = 2 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
35 and 481680
141 and 16923829
184 and 213864
111 and 11312543
19 and 671273

Try Calculating LCM of Other Numbers







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