What is the Least Common Multiple of 77484 and 77498?

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 77484 and 77498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77484 and 77498, than apply into the LCM equation.

GCF(77484,77498) = 2
LCM(77484,77498) = ( 77484 × 77498) / 2
LCM(77484,77498) = 6004855032 / 2
LCM(77484,77498) = 3002427516

Least Common Multiple (LCM) of 77484 and 77498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77484 and 77498. First we will calculate the prime factors of 77484 and 77498.

Prime Factorization of 77484

Prime Factorization of 77498

Now multiplying the highest exponent prime factors to calculate the LCM of 77484 and 77498.

LCM(77484,77498) = 2² × 3¹ × 11¹ × 587¹ × 38749¹
LCM(77484,77498) = 3002427516