GCF and LCM Calculator Logo

What is the Least Common Multiple of 28747 and 28764?

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 28747 and 28764 is 48639924.

LCM(28747,28764) = 48639924

LCM Calculator and
and

Least Common Multiple of 28747 and 28764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28747 and 28764, than apply into the LCM equation.

GCF(28747,28764) = 17
LCM(28747,28764) = ( 28747 × 28764) / 17
LCM(28747,28764) = 826878708 / 17
LCM(28747,28764) = 48639924

Least Common Multiple (LCM) of 28747 and 28764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28747 and 28764. First we will calculate the prime factors of 28747 and 28764.

Prime Factorization of 28747

Prime factors of 28747 are 17, 19, 89. Prime factorization of 28747 in exponential form is:

28747 = 171 × 191 × 891

Prime Factorization of 28764

Prime factors of 28764 are 2, 3, 17, 47. Prime factorization of 28764 in exponential form is:

28764 = 22 × 32 × 171 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 28747 and 28764.

LCM(28747,28764) = 171 × 191 × 891 × 22 × 32 × 471
LCM(28747,28764) = 48639924