What is the Least Common Multiple of 72513 and 72533?

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 72513 and 72533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72513 and 72533, than apply into the LCM equation.

GCF(72513,72533) = 1
LCM(72513,72533) = ( 72513 × 72533) / 1
LCM(72513,72533) = 5259585429 / 1
LCM(72513,72533) = 5259585429

Least Common Multiple (LCM) of 72513 and 72533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72513 and 72533. First we will calculate the prime factors of 72513 and 72533.

Prime Factorization of 72513

Prime Factorization of 72533

Now multiplying the highest exponent prime factors to calculate the LCM of 72513 and 72533.

LCM(72513,72533) = 3² × 7¹ × 1151¹ × 72533¹
LCM(72513,72533) = 5259585429