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What is the Least Common Multiple of 3089 and 3104?

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 3089 and 3104 is 9588256.

LCM(3089,3104) = 9588256

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Least Common Multiple of 3089 and 3104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3089 and 3104, than apply into the LCM equation.

GCF(3089,3104) = 1
LCM(3089,3104) = ( 3089 × 3104) / 1
LCM(3089,3104) = 9588256 / 1
LCM(3089,3104) = 9588256

Least Common Multiple (LCM) of 3089 and 3104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3089 and 3104. First we will calculate the prime factors of 3089 and 3104.

Prime Factorization of 3089

Prime factors of 3089 are 3089. Prime factorization of 3089 in exponential form is:

3089 = 30891

Prime Factorization of 3104

Prime factors of 3104 are 2, 97. Prime factorization of 3104 in exponential form is:

3104 = 25 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 3089 and 3104.

LCM(3089,3104) = 30891 × 25 × 971
LCM(3089,3104) = 9588256