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Least Common Multiple (LCM) of 67 and 40

The least common multiple (LCM) of 67 and 40 is 2680.

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 40?

First, calculate the GCD of 67 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 67 ÷ 40 = 1 remainder 27
2 40 ÷ 27 = 1 remainder 13
3 27 ÷ 13 = 2 remainder 1
4 13 ÷ 1 = 13 remainder 0

Examples of LCM Calculations

NumbersLCM
130 and 192470
62 and 1016262
169 and 16327547
106 and 1306890
45 and 1251125

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