What is the Least Common Multiple of 47310 and 47328?

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 47310 and 47328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47310 and 47328, than apply into the LCM equation.

GCF(47310,47328) = 6
LCM(47310,47328) = ( 47310 × 47328) / 6
LCM(47310,47328) = 2239087680 / 6
LCM(47310,47328) = 373181280

Least Common Multiple (LCM) of 47310 and 47328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47310 and 47328. First we will calculate the prime factors of 47310 and 47328.

Prime Factorization of 47310

Prime Factorization of 47328

Now multiplying the highest exponent prime factors to calculate the LCM of 47310 and 47328.

LCM(47310,47328) = 2⁵ × 3¹ × 5¹ × 19¹ × 83¹ × 17¹ × 29¹
LCM(47310,47328) = 373181280