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Least Common Multiple (LCM) of 10 and 14

The least common multiple (LCM) of 10 and 14 is 70.

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 10 and 14?

First, calculate the GCD of 10 and 14 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 10 ÷ 14 = 0 remainder 10
2 14 ÷ 10 = 1 remainder 4
3 10 ÷ 4 = 2 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
118 and 1488732
52 and 251300
142 and 17012070
193 and 5410422
69 and 1127728

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