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What is the Least Common Multiple of 98442 and 98453?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 98442 and 98453 is 9691910226.

LCM(98442,98453) = 9691910226

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Least Common Multiple of 98442 and 98453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98442 and 98453, than apply into the LCM equation.

GCF(98442,98453) = 1
LCM(98442,98453) = ( 98442 × 98453) / 1
LCM(98442,98453) = 9691910226 / 1
LCM(98442,98453) = 9691910226

Least Common Multiple (LCM) of 98442 and 98453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98442 and 98453. First we will calculate the prime factors of 98442 and 98453.

Prime Factorization of 98442

Prime factors of 98442 are 2, 3, 1823. Prime factorization of 98442 in exponential form is:

98442 = 21 × 33 × 18231

Prime Factorization of 98453

Prime factors of 98453 are 98453. Prime factorization of 98453 in exponential form is:

98453 = 984531

Now multiplying the highest exponent prime factors to calculate the LCM of 98442 and 98453.

LCM(98442,98453) = 21 × 33 × 18231 × 984531
LCM(98442,98453) = 9691910226