GCF and LCM Calculator Logo

What is the Least Common Multiple of 48782 and 48786?

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 48782 and 48786 is 1189939326.

LCM(48782,48786) = 1189939326

LCM Calculator and
and

Least Common Multiple of 48782 and 48786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48782 and 48786, than apply into the LCM equation.

GCF(48782,48786) = 2
LCM(48782,48786) = ( 48782 × 48786) / 2
LCM(48782,48786) = 2379878652 / 2
LCM(48782,48786) = 1189939326

Least Common Multiple (LCM) of 48782 and 48786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48782 and 48786. First we will calculate the prime factors of 48782 and 48786.

Prime Factorization of 48782

Prime factors of 48782 are 2, 24391. Prime factorization of 48782 in exponential form is:

48782 = 21 × 243911

Prime Factorization of 48786

Prime factors of 48786 are 2, 3, 47, 173. Prime factorization of 48786 in exponential form is:

48786 = 21 × 31 × 471 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 48782 and 48786.

LCM(48782,48786) = 21 × 243911 × 31 × 471 × 1731
LCM(48782,48786) = 1189939326