What is the Least Common Multiple of 47172 and 47184?

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 47172 and 47184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47172 and 47184, than apply into the LCM equation.

GCF(47172,47184) = 12
LCM(47172,47184) = ( 47172 × 47184) / 12
LCM(47172,47184) = 2225763648 / 12
LCM(47172,47184) = 185480304

Least Common Multiple (LCM) of 47172 and 47184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47172 and 47184. First we will calculate the prime factors of 47172 and 47184.

Prime Factorization of 47172

Prime Factorization of 47184

Now multiplying the highest exponent prime factors to calculate the LCM of 47172 and 47184.

LCM(47172,47184) = 2⁴ × 3¹ × 3931¹ × 983¹
LCM(47172,47184) = 185480304