What is the Least Common Multiple of 96444 and 96448?

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 96444 and 96448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96444 and 96448, than apply into the LCM equation.

GCF(96444,96448) = 4
LCM(96444,96448) = ( 96444 × 96448) / 4
LCM(96444,96448) = 9301830912 / 4
LCM(96444,96448) = 2325457728

Least Common Multiple (LCM) of 96444 and 96448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96444 and 96448. First we will calculate the prime factors of 96444 and 96448.

Prime Factorization of 96444

Prime Factorization of 96448

Now multiplying the highest exponent prime factors to calculate the LCM of 96444 and 96448.

LCM(96444,96448) = 2⁶ × 3³ × 19¹ × 47¹ × 11¹ × 137¹
LCM(96444,96448) = 2325457728