What is the Least Common Multiple of 47088 and 47096?

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 47088 and 47096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47088 and 47096, than apply into the LCM equation.

GCF(47088,47096) = 8
LCM(47088,47096) = ( 47088 × 47096) / 8
LCM(47088,47096) = 2217656448 / 8
LCM(47088,47096) = 277207056

Least Common Multiple (LCM) of 47088 and 47096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47088 and 47096. First we will calculate the prime factors of 47088 and 47096.

Prime Factorization of 47088

Prime Factorization of 47096

Now multiplying the highest exponent prime factors to calculate the LCM of 47088 and 47096.

LCM(47088,47096) = 2⁴ × 3³ × 109¹ × 7¹ × 29²
LCM(47088,47096) = 277207056