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What is the Least Common Multiple of 47599 and 47609?

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 47599 and 47609 is 2266140791.

LCM(47599,47609) = 2266140791

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Least Common Multiple of 47599 and 47609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47599 and 47609, than apply into the LCM equation.

GCF(47599,47609) = 1
LCM(47599,47609) = ( 47599 × 47609) / 1
LCM(47599,47609) = 2266140791 / 1
LCM(47599,47609) = 2266140791

Least Common Multiple (LCM) of 47599 and 47609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47599 and 47609. First we will calculate the prime factors of 47599 and 47609.

Prime Factorization of 47599

Prime factors of 47599 are 47599. Prime factorization of 47599 in exponential form is:

47599 = 475991

Prime Factorization of 47609

Prime factors of 47609 are 47609. Prime factorization of 47609 in exponential form is:

47609 = 476091

Now multiplying the highest exponent prime factors to calculate the LCM of 47599 and 47609.

LCM(47599,47609) = 475991 × 476091
LCM(47599,47609) = 2266140791