What is the Least Common Multiple of 72504 and 72516?

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 72504 and 72516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72504 and 72516, than apply into the LCM equation.

GCF(72504,72516) = 12
LCM(72504,72516) = ( 72504 × 72516) / 12
LCM(72504,72516) = 5257700064 / 12
LCM(72504,72516) = 438141672

Least Common Multiple (LCM) of 72504 and 72516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72504 and 72516. First we will calculate the prime factors of 72504 and 72516.

Prime Factorization of 72504

Prime Factorization of 72516

Now multiplying the highest exponent prime factors to calculate the LCM of 72504 and 72516.

LCM(72504,72516) = 2³ × 3² × 19¹ × 53¹ × 6043¹
LCM(72504,72516) = 438141672