GCF and LCM Calculator Logo

What is the Least Common Multiple of 65068 and 65072?

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 65068 and 65072 is 1058526224.

LCM(65068,65072) = 1058526224

LCM Calculator and
and

Least Common Multiple of 65068 and 65072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65068 and 65072, than apply into the LCM equation.

GCF(65068,65072) = 4
LCM(65068,65072) = ( 65068 × 65072) / 4
LCM(65068,65072) = 4234104896 / 4
LCM(65068,65072) = 1058526224

Least Common Multiple (LCM) of 65068 and 65072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65068 and 65072. First we will calculate the prime factors of 65068 and 65072.

Prime Factorization of 65068

Prime factors of 65068 are 2, 16267. Prime factorization of 65068 in exponential form is:

65068 = 22 × 162671

Prime Factorization of 65072

Prime factors of 65072 are 2, 7, 83. Prime factorization of 65072 in exponential form is:

65072 = 24 × 72 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 65068 and 65072.

LCM(65068,65072) = 24 × 162671 × 72 × 831
LCM(65068,65072) = 1058526224