What is the Least Common Multiple of 70089 and 70107?

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 70089 and 70107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70089 and 70107, than apply into the LCM equation.

GCF(70089,70107) = 3
LCM(70089,70107) = ( 70089 × 70107) / 3
LCM(70089,70107) = 4913729523 / 3
LCM(70089,70107) = 1637909841

Least Common Multiple (LCM) of 70089 and 70107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70089 and 70107. First we will calculate the prime factors of 70089 and 70107.

Prime Factorization of 70089

Prime Factorization of 70107

Now multiplying the highest exponent prime factors to calculate the LCM of 70089 and 70107.

LCM(70089,70107) = 3¹ × 61¹ × 383¹ × 23369¹
LCM(70089,70107) = 1637909841