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Least Common Multiple (LCM) of 11 and 85

The least common multiple (LCM) of 11 and 85 is 935.

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 11 and 85?

First, calculate the GCD of 11 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 11 ÷ 85 = 0 remainder 11
2 85 ÷ 11 = 7 remainder 8
3 11 ÷ 8 = 1 remainder 3
4 8 ÷ 3 = 2 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
115 and 10712305
134 and 644288
198 and 747326
184 and 1326072
178 and 458010

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