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Least Common Multiple (LCM) of 43 and 168

The least common multiple (LCM) of 43 and 168 is 7224.

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 43 and 168?

First, calculate the GCD of 43 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 43 ÷ 168 = 0 remainder 43
2 168 ÷ 43 = 3 remainder 39
3 43 ÷ 39 = 1 remainder 4
4 39 ÷ 4 = 9 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
27 and 1935211
106 and 18519610
111 and 687548
35 and 391365
192 and 40960

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