What is the Least Common Multiple of 58478 and 58489?

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 58478 and 58489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58478 and 58489, than apply into the LCM equation.

GCF(58478,58489) = 1
LCM(58478,58489) = ( 58478 × 58489) / 1
LCM(58478,58489) = 3420319742 / 1
LCM(58478,58489) = 3420319742

Least Common Multiple (LCM) of 58478 and 58489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58478 and 58489. First we will calculate the prime factors of 58478 and 58489.

Prime Factorization of 58478

Prime Factorization of 58489

Now multiplying the highest exponent prime factors to calculate the LCM of 58478 and 58489.

LCM(58478,58489) = 2¹ × 7¹ × 4177¹ × 23¹ × 2543¹
LCM(58478,58489) = 3420319742