What is the Least Common Multiple of 90005 and 90012?

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 90005 and 90012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90005 and 90012, than apply into the LCM equation.

GCF(90005,90012) = 1
LCM(90005,90012) = ( 90005 × 90012) / 1
LCM(90005,90012) = 8101530060 / 1
LCM(90005,90012) = 8101530060

Least Common Multiple (LCM) of 90005 and 90012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90005 and 90012. First we will calculate the prime factors of 90005 and 90012.

Prime Factorization of 90005

Prime Factorization of 90012

Now multiplying the highest exponent prime factors to calculate the LCM of 90005 and 90012.

LCM(90005,90012) = 5¹ × 47¹ × 383¹ × 2² × 3¹ × 13¹ × 577¹
LCM(90005,90012) = 8101530060