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Least Common Multiple (LCM) of 81 and 98

The least common multiple (LCM) of 81 and 98 is 7938.

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 81 and 98?

First, calculate the GCD of 81 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 81 ÷ 98 = 0 remainder 81
2 98 ÷ 81 = 1 remainder 17
3 81 ÷ 17 = 4 remainder 13
4 17 ÷ 13 = 1 remainder 4
5 13 ÷ 4 = 3 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
172 and 584988
127 and 17622352
86 and 595074
156 and 682652
198 and 747326

Try Calculating LCM of Other Numbers







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