What is the Least Common Multiple of 48786 and 48798?

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 of 48786 and 48798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48786 and 48798, than apply into the LCM equation.

GCF(48786,48798) = 6
LCM(48786,48798) = ( 48786 × 48798) / 6
LCM(48786,48798) = 2380659228 / 6
LCM(48786,48798) = 396776538

Least Common Multiple (LCM) of 48786 and 48798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48786 and 48798. First we will calculate the prime factors of 48786 and 48798.

Prime Factorization of 48786

Prime Factorization of 48798

Now multiplying the highest exponent prime factors to calculate the LCM of 48786 and 48798.

LCM(48786,48798) = 2¹ × 3² × 47¹ × 173¹ × 2711¹
LCM(48786,48798) = 396776538