What is the Least Common Multiple of 47628 and 47648?

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 47628 and 47648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47628 and 47648, than apply into the LCM equation.

GCF(47628,47648) = 4
LCM(47628,47648) = ( 47628 × 47648) / 4
LCM(47628,47648) = 2269378944 / 4
LCM(47628,47648) = 567344736

Least Common Multiple (LCM) of 47628 and 47648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47628 and 47648. First we will calculate the prime factors of 47628 and 47648.

Prime Factorization of 47628

Prime Factorization of 47648

Now multiplying the highest exponent prime factors to calculate the LCM of 47628 and 47648.

LCM(47628,47648) = 2⁵ × 3⁵ × 7² × 1489¹
LCM(47628,47648) = 567344736