What is the Least Common Multiple of 47280 and 47296?

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 47280 and 47296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47280 and 47296, than apply into the LCM equation.

GCF(47280,47296) = 16
LCM(47280,47296) = ( 47280 × 47296) / 16
LCM(47280,47296) = 2236154880 / 16
LCM(47280,47296) = 139759680

Least Common Multiple (LCM) of 47280 and 47296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47280 and 47296. First we will calculate the prime factors of 47280 and 47296.

Prime Factorization of 47280

Prime Factorization of 47296

Now multiplying the highest exponent prime factors to calculate the LCM of 47280 and 47296.

LCM(47280,47296) = 2⁶ × 3¹ × 5¹ × 197¹ × 739¹
LCM(47280,47296) = 139759680