GCF and LCM Calculator Logo

What is the Least Common Multiple of 47355 and 47360?

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 47355 and 47360 is 448546560.

LCM(47355,47360) = 448546560

LCM Calculator and
and

Least Common Multiple of 47355 and 47360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47355 and 47360, than apply into the LCM equation.

GCF(47355,47360) = 5
LCM(47355,47360) = ( 47355 × 47360) / 5
LCM(47355,47360) = 2242732800 / 5
LCM(47355,47360) = 448546560

Least Common Multiple (LCM) of 47355 and 47360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47355 and 47360. First we will calculate the prime factors of 47355 and 47360.

Prime Factorization of 47355

Prime factors of 47355 are 3, 5, 7, 11, 41. Prime factorization of 47355 in exponential form is:

47355 = 31 × 51 × 71 × 111 × 411

Prime Factorization of 47360

Prime factors of 47360 are 2, 5, 37. Prime factorization of 47360 in exponential form is:

47360 = 28 × 51 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 47355 and 47360.

LCM(47355,47360) = 31 × 51 × 71 × 111 × 411 × 28 × 371
LCM(47355,47360) = 448546560