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Least Common Multiple (LCM) of 35 and 185

The least common multiple (LCM) of 35 and 185 is 1295.

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 35 and 185?

First, calculate the GCD of 35 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 35 ÷ 185 = 0 remainder 35
2 185 ÷ 35 = 5 remainder 10
3 35 ÷ 10 = 3 remainder 5
4 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
127 and 313937
84 and 1139492
27 and 1734671
112 and 19521840
78 and 961248

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