GCF and LCM Calculator Logo

What is the Least Common Multiple of 29760 and 29773?

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 29760 and 29773 is 886044480.

LCM(29760,29773) = 886044480

LCM Calculator and
and

Least Common Multiple of 29760 and 29773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29760 and 29773, than apply into the LCM equation.

GCF(29760,29773) = 1
LCM(29760,29773) = ( 29760 × 29773) / 1
LCM(29760,29773) = 886044480 / 1
LCM(29760,29773) = 886044480

Least Common Multiple (LCM) of 29760 and 29773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29760 and 29773. First we will calculate the prime factors of 29760 and 29773.

Prime Factorization of 29760

Prime factors of 29760 are 2, 3, 5, 31. Prime factorization of 29760 in exponential form is:

29760 = 26 × 31 × 51 × 311

Prime Factorization of 29773

Prime factors of 29773 are 19, 1567. Prime factorization of 29773 in exponential form is:

29773 = 191 × 15671

Now multiplying the highest exponent prime factors to calculate the LCM of 29760 and 29773.

LCM(29760,29773) = 26 × 31 × 51 × 311 × 191 × 15671
LCM(29760,29773) = 886044480