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What is the Least Common Multiple of 98063 and 98073?

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 98063 and 98073 is 9617332599.

LCM(98063,98073) = 9617332599

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Least Common Multiple of 98063 and 98073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98063 and 98073, than apply into the LCM equation.

GCF(98063,98073) = 1
LCM(98063,98073) = ( 98063 × 98073) / 1
LCM(98063,98073) = 9617332599 / 1
LCM(98063,98073) = 9617332599

Least Common Multiple (LCM) of 98063 and 98073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98063 and 98073. First we will calculate the prime factors of 98063 and 98073.

Prime Factorization of 98063

Prime factors of 98063 are 7, 14009. Prime factorization of 98063 in exponential form is:

98063 = 71 × 140091

Prime Factorization of 98073

Prime factors of 98073 are 3, 17, 641. Prime factorization of 98073 in exponential form is:

98073 = 32 × 171 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 98063 and 98073.

LCM(98063,98073) = 71 × 140091 × 32 × 171 × 6411
LCM(98063,98073) = 9617332599