What is the Least Common Multiple of 21432 and 21448?

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 21432 and 21448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21432 and 21448, than apply into the LCM equation.

GCF(21432,21448) = 8
LCM(21432,21448) = ( 21432 × 21448) / 8
LCM(21432,21448) = 459673536 / 8
LCM(21432,21448) = 57459192

Least Common Multiple (LCM) of 21432 and 21448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21432 and 21448. First we will calculate the prime factors of 21432 and 21448.

Prime Factorization of 21432

Prime Factorization of 21448

Now multiplying the highest exponent prime factors to calculate the LCM of 21432 and 21448.

LCM(21432,21448) = 2³ × 3¹ × 19¹ × 47¹ × 7¹ × 383¹
LCM(21432,21448) = 57459192