GCF and LCM Calculator Logo

What is the Least Common Multiple of 48565 and 48572?

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 48565 and 48572 is 2358899180.

LCM(48565,48572) = 2358899180

LCM Calculator and
and

Least Common Multiple of 48565 and 48572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48565 and 48572, than apply into the LCM equation.

GCF(48565,48572) = 1
LCM(48565,48572) = ( 48565 × 48572) / 1
LCM(48565,48572) = 2358899180 / 1
LCM(48565,48572) = 2358899180

Least Common Multiple (LCM) of 48565 and 48572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48565 and 48572. First we will calculate the prime factors of 48565 and 48572.

Prime Factorization of 48565

Prime factors of 48565 are 5, 11, 883. Prime factorization of 48565 in exponential form is:

48565 = 51 × 111 × 8831

Prime Factorization of 48572

Prime factors of 48572 are 2, 12143. Prime factorization of 48572 in exponential form is:

48572 = 22 × 121431

Now multiplying the highest exponent prime factors to calculate the LCM of 48565 and 48572.

LCM(48565,48572) = 51 × 111 × 8831 × 22 × 121431
LCM(48565,48572) = 2358899180