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Least Common Multiple (LCM) of 68 and 13

The least common multiple (LCM) of 68 and 13 is 884.

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 68 and 13?

First, calculate the GCD of 68 and 13 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 68 ÷ 13 = 5 remainder 3
2 13 ÷ 3 = 4 remainder 1
3 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
165 and 784290
19 and 771463
105 and 14615330
79 and 786162
147 and 753675

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