What is the Least Common Multiple of 82478 and 82489?

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 82478 and 82489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82478 and 82489, than apply into the LCM equation.

GCF(82478,82489) = 11
LCM(82478,82489) = ( 82478 × 82489) / 11
LCM(82478,82489) = 6803527742 / 11
LCM(82478,82489) = 618502522

Least Common Multiple (LCM) of 82478 and 82489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82478 and 82489. First we will calculate the prime factors of 82478 and 82489.

Prime Factorization of 82478

Prime Factorization of 82489

Now multiplying the highest exponent prime factors to calculate the LCM of 82478 and 82489.

LCM(82478,82489) = 2¹ × 11¹ × 23¹ × 163¹ × 7499¹
LCM(82478,82489) = 618502522