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Least Common Multiple (LCM) of 67 and 91

The least common multiple (LCM) of 67 and 91 is 6097.

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 91?

First, calculate the GCD of 67 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 67 ÷ 91 = 0 remainder 67
2 91 ÷ 67 = 1 remainder 24
3 67 ÷ 24 = 2 remainder 19
4 24 ÷ 19 = 1 remainder 5
5 19 ÷ 5 = 3 remainder 4
6 5 ÷ 4 = 1 remainder 1
7 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
23 and 892047
40 and 1134520
150 and 1022550
174 and 478178
143 and 9713871

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