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Least Common Multiple (LCM) of 142 and 176

The least common multiple (LCM) of 142 and 176 is 12496.

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 142 and 176?

First, calculate the GCD of 142 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 142 ÷ 176 = 0 remainder 142
2 176 ÷ 142 = 1 remainder 34
3 142 ÷ 34 = 4 remainder 6
4 34 ÷ 6 = 5 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
149 and 507450
175 and 8214350
80 and 1118880
126 and 523276
94 and 13712878

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