GCF and LCM Calculator Logo

What is the Least Common Multiple of 93770 and 93774?

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 93770 and 93774 is 4396593990.

LCM(93770,93774) = 4396593990

LCM Calculator and
and

Least Common Multiple of 93770 and 93774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93770 and 93774, than apply into the LCM equation.

GCF(93770,93774) = 2
LCM(93770,93774) = ( 93770 × 93774) / 2
LCM(93770,93774) = 8793187980 / 2
LCM(93770,93774) = 4396593990

Least Common Multiple (LCM) of 93770 and 93774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93770 and 93774. First we will calculate the prime factors of 93770 and 93774.

Prime Factorization of 93770

Prime factors of 93770 are 2, 5, 9377. Prime factorization of 93770 in exponential form is:

93770 = 21 × 51 × 93771

Prime Factorization of 93774

Prime factors of 93774 are 2, 3, 15629. Prime factorization of 93774 in exponential form is:

93774 = 21 × 31 × 156291

Now multiplying the highest exponent prime factors to calculate the LCM of 93770 and 93774.

LCM(93770,93774) = 21 × 51 × 93771 × 31 × 156291
LCM(93770,93774) = 4396593990