What is the Least Common Multiple of 30478 and 30489?

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 30478 and 30489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30478 and 30489, than apply into the LCM equation.

GCF(30478,30489) = 1
LCM(30478,30489) = ( 30478 × 30489) / 1
LCM(30478,30489) = 929243742 / 1
LCM(30478,30489) = 929243742

Least Common Multiple (LCM) of 30478 and 30489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30478 and 30489. First we will calculate the prime factors of 30478 and 30489.

Prime Factorization of 30478

Prime Factorization of 30489

Now multiplying the highest exponent prime factors to calculate the LCM of 30478 and 30489.

LCM(30478,30489) = 2¹ × 7² × 311¹ × 3¹ × 10163¹
LCM(30478,30489) = 929243742