GCF and LCM Calculator Logo

What is the Least Common Multiple of 28361 and 28374?

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 28361 and 28374 is 804715014.

LCM(28361,28374) = 804715014

LCM Calculator and
and

Least Common Multiple of 28361 and 28374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28361 and 28374, than apply into the LCM equation.

GCF(28361,28374) = 1
LCM(28361,28374) = ( 28361 × 28374) / 1
LCM(28361,28374) = 804715014 / 1
LCM(28361,28374) = 804715014

Least Common Multiple (LCM) of 28361 and 28374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28361 and 28374. First we will calculate the prime factors of 28361 and 28374.

Prime Factorization of 28361

Prime factors of 28361 are 79, 359. Prime factorization of 28361 in exponential form is:

28361 = 791 × 3591

Prime Factorization of 28374

Prime factors of 28374 are 2, 3, 4729. Prime factorization of 28374 in exponential form is:

28374 = 21 × 31 × 47291

Now multiplying the highest exponent prime factors to calculate the LCM of 28361 and 28374.

LCM(28361,28374) = 791 × 3591 × 21 × 31 × 47291
LCM(28361,28374) = 804715014