What is the Least Common Multiple of 70395 and 70413?

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 70395 and 70413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70395 and 70413, than apply into the LCM equation.

GCF(70395,70413) = 3
LCM(70395,70413) = ( 70395 × 70413) / 3
LCM(70395,70413) = 4956723135 / 3
LCM(70395,70413) = 1652241045

Least Common Multiple (LCM) of 70395 and 70413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70395 and 70413. First we will calculate the prime factors of 70395 and 70413.

Prime Factorization of 70395

Prime Factorization of 70413

Now multiplying the highest exponent prime factors to calculate the LCM of 70395 and 70413.

LCM(70395,70413) = 3¹ × 5¹ × 13¹ × 19² × 7² × 479¹
LCM(70395,70413) = 1652241045