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What is the Least Common Multiple of 27089 and 27109?

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 27089 and 27109 is 734355701.

LCM(27089,27109) = 734355701

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Least Common Multiple of 27089 and 27109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27089 and 27109, than apply into the LCM equation.

GCF(27089,27109) = 1
LCM(27089,27109) = ( 27089 × 27109) / 1
LCM(27089,27109) = 734355701 / 1
LCM(27089,27109) = 734355701

Least Common Multiple (LCM) of 27089 and 27109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27089 and 27109. First we will calculate the prime factors of 27089 and 27109.

Prime Factorization of 27089

Prime factors of 27089 are 103, 263. Prime factorization of 27089 in exponential form is:

27089 = 1031 × 2631

Prime Factorization of 27109

Prime factors of 27109 are 27109. Prime factorization of 27109 in exponential form is:

27109 = 271091

Now multiplying the highest exponent prime factors to calculate the LCM of 27089 and 27109.

LCM(27089,27109) = 1031 × 2631 × 271091
LCM(27089,27109) = 734355701