GCF and LCM Calculator Logo

What is the Least Common Multiple of 28741 and 28759?

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 28741 and 28759 is 826562419.

LCM(28741,28759) = 826562419

LCM Calculator and
and

Least Common Multiple of 28741 and 28759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28741 and 28759, than apply into the LCM equation.

GCF(28741,28759) = 1
LCM(28741,28759) = ( 28741 × 28759) / 1
LCM(28741,28759) = 826562419 / 1
LCM(28741,28759) = 826562419

Least Common Multiple (LCM) of 28741 and 28759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28741 and 28759. First we will calculate the prime factors of 28741 and 28759.

Prime Factorization of 28741

Prime factors of 28741 are 41, 701. Prime factorization of 28741 in exponential form is:

28741 = 411 × 7011

Prime Factorization of 28759

Prime factors of 28759 are 28759. Prime factorization of 28759 in exponential form is:

28759 = 287591

Now multiplying the highest exponent prime factors to calculate the LCM of 28741 and 28759.

LCM(28741,28759) = 411 × 7011 × 287591
LCM(28741,28759) = 826562419