What is the Least Common Multiple of 47648 and 47656?

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 47656 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 47656, than apply into the LCM equation.

GCF(47648,47656) = 8
LCM(47648,47656) = ( 47648 × 47656) / 8
LCM(47648,47656) = 2270713088 / 8
LCM(47648,47656) = 283839136

Least Common Multiple (LCM) of 47648 and 47656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47648 and 47656. First we will calculate the prime factors of 47648 and 47656.

Prime Factorization of 47648

Prime Factorization of 47656

Now multiplying the highest exponent prime factors to calculate the LCM of 47648 and 47656.

LCM(47648,47656) = 2⁵ × 1489¹ × 7¹ × 23¹ × 37¹
LCM(47648,47656) = 283839136