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Least Common Multiple (LCM) of 168 and 30

The least common multiple (LCM) of 168 and 30 is 840.

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 168 and 30?

First, calculate the GCD of 168 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 168 ÷ 30 = 5 remainder 18
2 30 ÷ 18 = 1 remainder 12
3 18 ÷ 12 = 1 remainder 6
4 12 ÷ 6 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
171 and 1508550
91 and 191729
20 and 6060
34 and 18306
126 and 1441008

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