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Least Common Multiple (LCM) of 112 and 68

The least common multiple (LCM) of 112 and 68 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 112 and 68?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
175 and 9316275
115 and 1703910
120 and 72360
163 and 17228036
159 and 629858

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