GCF and LCM Calculator Logo

What is the Least Common Multiple of 28734 and 28753?

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 28734 and 28753 is 826188702.

LCM(28734,28753) = 826188702

LCM Calculator and
and

Least Common Multiple of 28734 and 28753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28734 and 28753, than apply into the LCM equation.

GCF(28734,28753) = 1
LCM(28734,28753) = ( 28734 × 28753) / 1
LCM(28734,28753) = 826188702 / 1
LCM(28734,28753) = 826188702

Least Common Multiple (LCM) of 28734 and 28753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28734 and 28753. First we will calculate the prime factors of 28734 and 28753.

Prime Factorization of 28734

Prime factors of 28734 are 2, 3, 4789. Prime factorization of 28734 in exponential form is:

28734 = 21 × 31 × 47891

Prime Factorization of 28753

Prime factors of 28753 are 28753. Prime factorization of 28753 in exponential form is:

28753 = 287531

Now multiplying the highest exponent prime factors to calculate the LCM of 28734 and 28753.

LCM(28734,28753) = 21 × 31 × 47891 × 287531
LCM(28734,28753) = 826188702