What is the Least Common Multiple of 64440 and 64448?

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 64440 and 64448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64440 and 64448, than apply into the LCM equation.

GCF(64440,64448) = 8
LCM(64440,64448) = ( 64440 × 64448) / 8
LCM(64440,64448) = 4153029120 / 8
LCM(64440,64448) = 519128640

Least Common Multiple (LCM) of 64440 and 64448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64440 and 64448. First we will calculate the prime factors of 64440 and 64448.

Prime Factorization of 64440

Prime Factorization of 64448

Now multiplying the highest exponent prime factors to calculate the LCM of 64440 and 64448.

LCM(64440,64448) = 2⁶ × 3² × 5¹ × 179¹ × 19¹ × 53¹
LCM(64440,64448) = 519128640