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Least Common Multiple (LCM) of 14 and 142

The least common multiple (LCM) of 14 and 142 is 994.

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 14 and 142?

First, calculate the GCD of 14 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 14 ÷ 142 = 0 remainder 14
2 142 ÷ 14 = 10 remainder 2
3 14 ÷ 2 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
171 and 12120691
66 and 372442
180 and 1154140
200 and 19819800
196 and 302940

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