GCF and LCM Calculator Logo

What is the Least Common Multiple of 65009 and 65027?

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 65009 and 65027 is 4227340243.

LCM(65009,65027) = 4227340243

LCM Calculator and
and

Least Common Multiple of 65009 and 65027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65009 and 65027, than apply into the LCM equation.

GCF(65009,65027) = 1
LCM(65009,65027) = ( 65009 × 65027) / 1
LCM(65009,65027) = 4227340243 / 1
LCM(65009,65027) = 4227340243

Least Common Multiple (LCM) of 65009 and 65027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65009 and 65027. First we will calculate the prime factors of 65009 and 65027.

Prime Factorization of 65009

Prime factors of 65009 are 7, 37, 251. Prime factorization of 65009 in exponential form is:

65009 = 71 × 371 × 2511

Prime Factorization of 65027

Prime factors of 65027 are 65027. Prime factorization of 65027 in exponential form is:

65027 = 650271

Now multiplying the highest exponent prime factors to calculate the LCM of 65009 and 65027.

LCM(65009,65027) = 71 × 371 × 2511 × 650271
LCM(65009,65027) = 4227340243