What is the Least Common Multiple of 48036 and 48047?

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 48036 and 48047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48036 and 48047, than apply into the LCM equation.

GCF(48036,48047) = 1
LCM(48036,48047) = ( 48036 × 48047) / 1
LCM(48036,48047) = 2307985692 / 1
LCM(48036,48047) = 2307985692

Least Common Multiple (LCM) of 48036 and 48047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48036 and 48047. First we will calculate the prime factors of 48036 and 48047.

Prime Factorization of 48036

Prime Factorization of 48047

Now multiplying the highest exponent prime factors to calculate the LCM of 48036 and 48047.

LCM(48036,48047) = 2² × 3¹ × 4003¹ × 23¹ × 2089¹
LCM(48036,48047) = 2307985692