GCF and LCM Calculator Logo

What is the Least Common Multiple of 89595 and 89610?

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 89595 and 89610 is 535240530.

LCM(89595,89610) = 535240530

LCM Calculator and
and

Least Common Multiple of 89595 and 89610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89595 and 89610, than apply into the LCM equation.

GCF(89595,89610) = 15
LCM(89595,89610) = ( 89595 × 89610) / 15
LCM(89595,89610) = 8028607950 / 15
LCM(89595,89610) = 535240530

Least Common Multiple (LCM) of 89595 and 89610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89595 and 89610. First we will calculate the prime factors of 89595 and 89610.

Prime Factorization of 89595

Prime factors of 89595 are 3, 5, 11, 181. Prime factorization of 89595 in exponential form is:

89595 = 32 × 51 × 111 × 1811

Prime Factorization of 89610

Prime factors of 89610 are 2, 3, 5, 29, 103. Prime factorization of 89610 in exponential form is:

89610 = 21 × 31 × 51 × 291 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 89595 and 89610.

LCM(89595,89610) = 32 × 51 × 111 × 1811 × 21 × 291 × 1031
LCM(89595,89610) = 535240530