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Least Common Multiple (LCM) of 68 and 112

The least common multiple (LCM) of 68 and 112 is 1904.

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 112?

First, calculate the GCD of 68 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 68 ÷ 112 = 0 remainder 68
2 112 ÷ 68 = 1 remainder 44
3 68 ÷ 44 = 1 remainder 24
4 44 ÷ 24 = 1 remainder 20
5 24 ÷ 20 = 1 remainder 4
6 20 ÷ 4 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
200 and 1969800
53 and 1196307
38 and 592242
61 and 1629882
37 and 1224514

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