What is the Least Common Multiple of 78489 and 78498?

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 78489 and 78498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78489 and 78498, than apply into the LCM equation.

GCF(78489,78498) = 9
LCM(78489,78498) = ( 78489 × 78498) / 9
LCM(78489,78498) = 6161229522 / 9
LCM(78489,78498) = 684581058

Least Common Multiple (LCM) of 78489 and 78498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78489 and 78498. First we will calculate the prime factors of 78489 and 78498.

Prime Factorization of 78489

Prime Factorization of 78498

Now multiplying the highest exponent prime factors to calculate the LCM of 78489 and 78498.

LCM(78489,78498) = 3⁵ × 17¹ × 19¹ × 2¹ × 7² × 89¹
LCM(78489,78498) = 684581058