What is the Least Common Multiple of 47648 and 47662?

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 47662 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 47662, than apply into the LCM equation.

GCF(47648,47662) = 2
LCM(47648,47662) = ( 47648 × 47662) / 2
LCM(47648,47662) = 2270998976 / 2
LCM(47648,47662) = 1135499488

Least Common Multiple (LCM) of 47648 and 47662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47648 and 47662. First we will calculate the prime factors of 47648 and 47662.

Prime Factorization of 47648

Prime Factorization of 47662

Now multiplying the highest exponent prime factors to calculate the LCM of 47648 and 47662.

LCM(47648,47662) = 2⁵ × 1489¹ × 23831¹
LCM(47648,47662) = 1135499488