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Least Common Multiple (LCM) of 75 and 14

The least common multiple (LCM) of 75 and 14 is 1050.

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 75 and 14?

First, calculate the GCD of 75 and 14 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 75 ÷ 14 = 5 remainder 5
2 14 ÷ 5 = 2 remainder 4
3 5 ÷ 4 = 1 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
104 and 72936
172 and 8314276
64 and 18576
132 and 1469636
145 and 8111745

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