What is the Least Common Multiple of 47648 and 47667?

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 47648 and 47667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47648 and 47667, than apply into the LCM equation.

GCF(47648,47667) = 1
LCM(47648,47667) = ( 47648 × 47667) / 1
LCM(47648,47667) = 2271237216 / 1
LCM(47648,47667) = 2271237216

Least Common Multiple (LCM) of 47648 and 47667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47648 and 47667. First we will calculate the prime factors of 47648 and 47667.

Prime Factorization of 47648

Prime Factorization of 47667

Now multiplying the highest exponent prime factors to calculate the LCM of 47648 and 47667.

LCM(47648,47667) = 2⁵ × 1489¹ × 3¹ × 15889¹
LCM(47648,47667) = 2271237216