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Least Common Multiple (LCM) of 178 and 112

The least common multiple (LCM) of 178 and 112 is 9968.

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 178 and 112?

First, calculate the GCD of 178 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 112 = 1 remainder 66
2 112 ÷ 66 = 1 remainder 46
3 66 ÷ 46 = 1 remainder 20
4 46 ÷ 20 = 2 remainder 6
5 20 ÷ 6 = 3 remainder 2
6 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
154 and 14210934
95 and 12912255
144 and 19127504
87 and 474089
29 and 2929

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