What is the Least Common Multiple of 89470 and 89486?

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 89470 and 89486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89470 and 89486, than apply into the LCM equation.

GCF(89470,89486) = 2
LCM(89470,89486) = ( 89470 × 89486) / 2
LCM(89470,89486) = 8006312420 / 2
LCM(89470,89486) = 4003156210

Least Common Multiple (LCM) of 89470 and 89486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89470 and 89486. First we will calculate the prime factors of 89470 and 89486.

Prime Factorization of 89470

Prime Factorization of 89486

Now multiplying the highest exponent prime factors to calculate the LCM of 89470 and 89486.

LCM(89470,89486) = 2¹ × 5¹ × 23¹ × 389¹ × 101¹ × 443¹
LCM(89470,89486) = 4003156210