What is the Least Common Multiple of 47523 and 47538?

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 47523 and 47538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47523 and 47538, than apply into the LCM equation.

GCF(47523,47538) = 3
LCM(47523,47538) = ( 47523 × 47538) / 3
LCM(47523,47538) = 2259148374 / 3
LCM(47523,47538) = 753049458

Least Common Multiple (LCM) of 47523 and 47538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47523 and 47538. First we will calculate the prime factors of 47523 and 47538.

Prime Factorization of 47523

Prime Factorization of 47538

Now multiplying the highest exponent prime factors to calculate the LCM of 47523 and 47538.

LCM(47523,47538) = 3² × 7¹ × 31¹ × 73¹ × 2¹ × 19¹ × 139¹
LCM(47523,47538) = 753049458