What is the Least Common Multiple of 89008 and 89013?

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 89008 and 89013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89008 and 89013, than apply into the LCM equation.

GCF(89008,89013) = 1
LCM(89008,89013) = ( 89008 × 89013) / 1
LCM(89008,89013) = 7922869104 / 1
LCM(89008,89013) = 7922869104

Least Common Multiple (LCM) of 89008 and 89013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89008 and 89013. First we will calculate the prime factors of 89008 and 89013.

Prime Factorization of 89008

Prime Factorization of 89013

Now multiplying the highest exponent prime factors to calculate the LCM of 89008 and 89013.

LCM(89008,89013) = 2⁴ × 5563¹ × 3¹ × 29671¹
LCM(89008,89013) = 7922869104