What is the Least Common Multiple of 39494 and 39504?

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 39494 and 39504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39494 and 39504, than apply into the LCM equation.

GCF(39494,39504) = 2
LCM(39494,39504) = ( 39494 × 39504) / 2
LCM(39494,39504) = 1560170976 / 2
LCM(39494,39504) = 780085488

Least Common Multiple (LCM) of 39494 and 39504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39494 and 39504. First we will calculate the prime factors of 39494 and 39504.

Prime Factorization of 39494

Prime Factorization of 39504

Now multiplying the highest exponent prime factors to calculate the LCM of 39494 and 39504.

LCM(39494,39504) = 2⁴ × 7² × 13¹ × 31¹ × 3¹ × 823¹
LCM(39494,39504) = 780085488