What is the Least Common Multiple of 72510 and 72525?

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 72510 and 72525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72510 and 72525, than apply into the LCM equation.

GCF(72510,72525) = 15
LCM(72510,72525) = ( 72510 × 72525) / 15
LCM(72510,72525) = 5258787750 / 15
LCM(72510,72525) = 350585850

Least Common Multiple (LCM) of 72510 and 72525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72510 and 72525. First we will calculate the prime factors of 72510 and 72525.

Prime Factorization of 72510

Prime Factorization of 72525

Now multiplying the highest exponent prime factors to calculate the LCM of 72510 and 72525.

LCM(72510,72525) = 2¹ × 3¹ × 5² × 2417¹ × 967¹
LCM(72510,72525) = 350585850