What is the Least Common Multiple of 72508 and 72527?

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 72508 and 72527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72508 and 72527, than apply into the LCM equation.

GCF(72508,72527) = 1
LCM(72508,72527) = ( 72508 × 72527) / 1
LCM(72508,72527) = 5258787716 / 1
LCM(72508,72527) = 5258787716

Least Common Multiple (LCM) of 72508 and 72527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72508 and 72527. First we will calculate the prime factors of 72508 and 72527.

Prime Factorization of 72508

Prime Factorization of 72527

Now multiplying the highest exponent prime factors to calculate the LCM of 72508 and 72527.

LCM(72508,72527) = 2² × 18127¹ × 7¹ × 13¹ × 797¹
LCM(72508,72527) = 5258787716