What is the Least Common Multiple of 48213 and 48219?

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 48213 and 48219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48213 and 48219, than apply into the LCM equation.

GCF(48213,48219) = 3
LCM(48213,48219) = ( 48213 × 48219) / 3
LCM(48213,48219) = 2324782647 / 3
LCM(48213,48219) = 774927549

Least Common Multiple (LCM) of 48213 and 48219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48213 and 48219. First we will calculate the prime factors of 48213 and 48219.

Prime Factorization of 48213

Prime Factorization of 48219

Now multiplying the highest exponent prime factors to calculate the LCM of 48213 and 48219.

LCM(48213,48219) = 3² × 11¹ × 487¹ × 16073¹
LCM(48213,48219) = 774927549