What is the Least Common Multiple of 72509 and 72513?

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 72509 and 72513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72509 and 72513, than apply into the LCM equation.

GCF(72509,72513) = 1
LCM(72509,72513) = ( 72509 × 72513) / 1
LCM(72509,72513) = 5257845117 / 1
LCM(72509,72513) = 5257845117

Least Common Multiple (LCM) of 72509 and 72513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72509 and 72513. First we will calculate the prime factors of 72509 and 72513.

Prime Factorization of 72509

Prime Factorization of 72513

Now multiplying the highest exponent prime factors to calculate the LCM of 72509 and 72513.

LCM(72509,72513) = 31¹ × 2339¹ × 3² × 7¹ × 1151¹
LCM(72509,72513) = 5257845117