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Least Common Multiple (LCM) of 98 and 72

The least common multiple (LCM) of 98 and 72 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 98 and 72?

First, calculate the GCD of 98 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 98 ÷ 72 = 1 remainder 26
2 72 ÷ 26 = 2 remainder 20
3 26 ÷ 20 = 1 remainder 6
4 20 ÷ 6 = 3 remainder 2
5 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
161 and 17428014
133 and 1963724
136 and 14119176
159 and 1326996
104 and 1644264

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