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Least Common Multiple (LCM) of 91 and 17

The least common multiple (LCM) of 91 and 17 is 1547.

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 17?

First, calculate the GCD of 91 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
41 and 883608
136 and 476392
67 and 966432
164 and 625084
36 and 51612

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