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Least Common Multiple (LCM) of 86 and 49

The least common multiple (LCM) of 86 and 49 is 4214.

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 86 and 49?

First, calculate the GCD of 86 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 86 ÷ 49 = 1 remainder 37
2 49 ÷ 37 = 1 remainder 12
3 37 ÷ 12 = 3 remainder 1
4 12 ÷ 1 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
169 and 9215548
108 and 20540
51 and 1412397
84 and 8484
191 and 14126931

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