What is the Least Common Multiple of 23772 and 23784?

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 23772 and 23784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23772 and 23784, than apply into the LCM equation.

GCF(23772,23784) = 12
LCM(23772,23784) = ( 23772 × 23784) / 12
LCM(23772,23784) = 565393248 / 12
LCM(23772,23784) = 47116104

Least Common Multiple (LCM) of 23772 and 23784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23772 and 23784. First we will calculate the prime factors of 23772 and 23784.

Prime Factorization of 23772

Prime Factorization of 23784

Now multiplying the highest exponent prime factors to calculate the LCM of 23772 and 23784.

LCM(23772,23784) = 2³ × 3¹ × 7¹ × 283¹ × 991¹
LCM(23772,23784) = 47116104