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Least Common Multiple (LCM) of 91 and 74

The least common multiple (LCM) of 91 and 74 is 6734.

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 91 and 74?

First, calculate the GCD of 91 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 91 ÷ 74 = 1 remainder 17
2 74 ÷ 17 = 4 remainder 6
3 17 ÷ 6 = 2 remainder 5
4 6 ÷ 5 = 1 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
200 and 18737400
104 and 221144
122 and 15118422
146 and 1228906
108 and 16432

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