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Least Common Multiple (LCM) of 14 and 72

The least common multiple (LCM) of 14 and 72 is 504.

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 72?

First, calculate the GCD of 14 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 14 ÷ 72 = 0 remainder 14
2 72 ÷ 14 = 5 remainder 2
3 14 ÷ 2 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
164 and 1365576
29 and 1765104
160 and 96480
58 and 271566
136 and 1442448

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