What is the Least Common Multiple of 78498 and 78510?

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 78498 and 78510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78498 and 78510, than apply into the LCM equation.

GCF(78498,78510) = 6
LCM(78498,78510) = ( 78498 × 78510) / 6
LCM(78498,78510) = 6162877980 / 6
LCM(78498,78510) = 1027146330

Least Common Multiple (LCM) of 78498 and 78510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78498 and 78510. First we will calculate the prime factors of 78498 and 78510.

Prime Factorization of 78498

Prime Factorization of 78510

Now multiplying the highest exponent prime factors to calculate the LCM of 78498 and 78510.

LCM(78498,78510) = 2¹ × 3² × 7² × 89¹ × 5¹ × 2617¹
LCM(78498,78510) = 1027146330