What is the Least Common Multiple of 48888 and 48896?

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 48888 and 48896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48888 and 48896, than apply into the LCM equation.

GCF(48888,48896) = 8
LCM(48888,48896) = ( 48888 × 48896) / 8
LCM(48888,48896) = 2390427648 / 8
LCM(48888,48896) = 298803456

Least Common Multiple (LCM) of 48888 and 48896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48888 and 48896. First we will calculate the prime factors of 48888 and 48896.

Prime Factorization of 48888

Prime Factorization of 48896

Now multiplying the highest exponent prime factors to calculate the LCM of 48888 and 48896.

LCM(48888,48896) = 2⁸ × 3² × 7¹ × 97¹ × 191¹
LCM(48888,48896) = 298803456