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Least Common Multiple (LCM) of 98 and 110

The least common multiple (LCM) of 98 and 110 is 5390.

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 110?

First, calculate the GCD of 98 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 98 ÷ 110 = 0 remainder 98
2 110 ÷ 98 = 1 remainder 12
3 98 ÷ 12 = 8 remainder 2
4 12 ÷ 2 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
82 and 1686888
154 and 1332926
52 and 975044
38 and 40760
175 and 1543850

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