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Least Common Multiple (LCM) of 74 and 112

The least common multiple (LCM) of 74 and 112 is 4144.

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 74 and 112?

First, calculate the GCD of 74 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 74 ÷ 112 = 0 remainder 74
2 112 ÷ 74 = 1 remainder 38
3 74 ÷ 38 = 1 remainder 36
4 38 ÷ 36 = 1 remainder 2
5 36 ÷ 2 = 18 remainder 0

Examples of LCM Calculations

NumbersLCM
68 and 1379316
156 and 934836
122 and 394758
185 and 10319055
21 and 49147

Try Calculating LCM of Other Numbers







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