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Least Common Multiple (LCM) of 98 and 10

The least common multiple (LCM) of 98 and 10 is 490.

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 10?

First, calculate the GCD of 98 and 10 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 98 ÷ 10 = 9 remainder 8
2 10 ÷ 8 = 1 remainder 2
3 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
110 and 66330
166 and 7312118
122 and 293538
30 and 62930
45 and 108540

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