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Least Common Multiple (LCM) of 185 and 61

The least common multiple (LCM) of 185 and 61 is 11285.

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 61?

First, calculate the GCD of 185 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 185 ÷ 61 = 3 remainder 2
2 61 ÷ 2 = 30 remainder 1
3 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
84 and 16714028
141 and 17925239
200 and 1122800
122 and 19724034
156 and 1847176

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