GCF and LCM Calculator Logo

What is the Least Common Multiple of 28750 and 28757?

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 28750 and 28757 is 826763750.

LCM(28750,28757) = 826763750

LCM Calculator and
and

Least Common Multiple of 28750 and 28757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28750 and 28757, than apply into the LCM equation.

GCF(28750,28757) = 1
LCM(28750,28757) = ( 28750 × 28757) / 1
LCM(28750,28757) = 826763750 / 1
LCM(28750,28757) = 826763750

Least Common Multiple (LCM) of 28750 and 28757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28750 and 28757. First we will calculate the prime factors of 28750 and 28757.

Prime Factorization of 28750

Prime factors of 28750 are 2, 5, 23. Prime factorization of 28750 in exponential form is:

28750 = 21 × 54 × 231

Prime Factorization of 28757

Prime factors of 28757 are 149, 193. Prime factorization of 28757 in exponential form is:

28757 = 1491 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 28750 and 28757.

LCM(28750,28757) = 21 × 54 × 231 × 1491 × 1931
LCM(28750,28757) = 826763750