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Least Common Multiple (LCM) of 133 and 98

The least common multiple (LCM) of 133 and 98 is 1862.

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 133 and 98?

First, calculate the GCD of 133 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 133 ÷ 98 = 1 remainder 35
2 98 ÷ 35 = 2 remainder 28
3 35 ÷ 28 = 1 remainder 7
4 28 ÷ 7 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
108 and 11512420
138 and 17812282
196 and 1681176
197 and 16933293
12 and 1781068

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