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Least Common Multiple (LCM) of 185 and 91

The least common multiple (LCM) of 185 and 91 is 16835.

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 185 and 91?

First, calculate the GCD of 185 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 185 ÷ 91 = 2 remainder 3
2 91 ÷ 3 = 30 remainder 1
3 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
22 and 1141254
200 and 7915800
100 and 1452900
176 and 15326928
152 and 538056

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