What is the Least Common Multiple of 57444 and 57464?

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 57444 and 57464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57444 and 57464, than apply into the LCM equation.

GCF(57444,57464) = 4
LCM(57444,57464) = ( 57444 × 57464) / 4
LCM(57444,57464) = 3300962016 / 4
LCM(57444,57464) = 825240504

Least Common Multiple (LCM) of 57444 and 57464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57444 and 57464. First we will calculate the prime factors of 57444 and 57464.

Prime Factorization of 57444

Prime Factorization of 57464

Now multiplying the highest exponent prime factors to calculate the LCM of 57444 and 57464.

LCM(57444,57464) = 2³ × 3¹ × 4787¹ × 11¹ × 653¹
LCM(57444,57464) = 825240504