GCF and LCM Calculator Logo

What is the Least Common Multiple of 29775 and 29780?

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 29775 and 29780 is 177339900.

LCM(29775,29780) = 177339900

LCM Calculator and
and

Least Common Multiple of 29775 and 29780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29775 and 29780, than apply into the LCM equation.

GCF(29775,29780) = 5
LCM(29775,29780) = ( 29775 × 29780) / 5
LCM(29775,29780) = 886699500 / 5
LCM(29775,29780) = 177339900

Least Common Multiple (LCM) of 29775 and 29780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29775 and 29780. First we will calculate the prime factors of 29775 and 29780.

Prime Factorization of 29775

Prime factors of 29775 are 3, 5, 397. Prime factorization of 29775 in exponential form is:

29775 = 31 × 52 × 3971

Prime Factorization of 29780

Prime factors of 29780 are 2, 5, 1489. Prime factorization of 29780 in exponential form is:

29780 = 22 × 51 × 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 29775 and 29780.

LCM(29775,29780) = 31 × 52 × 3971 × 22 × 14891
LCM(29775,29780) = 177339900