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Least Common Multiple (LCM) of 68 and 47

The least common multiple (LCM) of 68 and 47 is 3196.

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 47?

First, calculate the GCD of 68 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 68 ÷ 47 = 1 remainder 21
2 47 ÷ 21 = 2 remainder 5
3 21 ÷ 5 = 4 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
41 and 502050
67 and 18212194
92 and 635796
185 and 301110
104 and 761976

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