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Least Common Multiple (LCM) of 72 and 49

The least common multiple (LCM) of 72 and 49 is 3528.

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 72 and 49?

First, calculate the GCD of 72 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 72 ÷ 49 = 1 remainder 23
2 49 ÷ 23 = 2 remainder 3
3 23 ÷ 3 = 7 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
126 and 131638
71 and 20014200
141 and 18846
167 and 14123547
68 and 412788

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