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Least Common Multiple (LCM) of 67 and 43

The least common multiple (LCM) of 67 and 43 is 2881.

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 67 and 43?

First, calculate the GCD of 67 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 67 ÷ 43 = 1 remainder 24
2 43 ÷ 24 = 1 remainder 19
3 24 ÷ 19 = 1 remainder 5
4 19 ÷ 5 = 3 remainder 4
5 5 ÷ 4 = 1 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
179 and 17330967
37 and 1194403
178 and 15928302
95 and 18417480
131 and 15019650

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