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Least Common Multiple (LCM) of 190 and 98

The least common multiple (LCM) of 190 and 98 is 9310.

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 190 and 98?

First, calculate the GCD of 190 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 190 ÷ 98 = 1 remainder 92
2 98 ÷ 92 = 1 remainder 6
3 92 ÷ 6 = 15 remainder 2
4 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
89 and 17115219
118 and 221298
40 and 11440
50 and 1051050
154 and 15924486

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