What is the Least Common Multiple of 52440 and 52448?

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 52440 and 52448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52440 and 52448, than apply into the LCM equation.

GCF(52440,52448) = 8
LCM(52440,52448) = ( 52440 × 52448) / 8
LCM(52440,52448) = 2750373120 / 8
LCM(52440,52448) = 343796640

Least Common Multiple (LCM) of 52440 and 52448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52440 and 52448. First we will calculate the prime factors of 52440 and 52448.

Prime Factorization of 52440

Prime Factorization of 52448

Now multiplying the highest exponent prime factors to calculate the LCM of 52440 and 52448.

LCM(52440,52448) = 2⁵ × 3¹ × 5¹ × 19¹ × 23¹ × 11¹ × 149¹
LCM(52440,52448) = 343796640