What is the Least Common Multiple of 48778 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 of 48778 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 48778 and 48786, than apply into the LCM equation.

GCF(48778,48786) = 2
LCM(48778,48786) = ( 48778 × 48786) / 2
LCM(48778,48786) = 2379683508 / 2
LCM(48778,48786) = 1189841754

Least Common Multiple (LCM) of 48778 and 48786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48778 and 48786. First we will calculate the prime factors of 48778 and 48786.

Prime Factorization of 48778

Prime Factorization of 48786

Now multiplying the highest exponent prime factors to calculate the LCM of 48778 and 48786.

LCM(48778,48786) = 2¹ × 29³ × 3¹ × 47¹ × 173¹
LCM(48778,48786) = 1189841754