What is the Least Common Multiple of 32430 and 32448?

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 32430 and 32448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32430 and 32448, than apply into the LCM equation.

GCF(32430,32448) = 6
LCM(32430,32448) = ( 32430 × 32448) / 6
LCM(32430,32448) = 1052288640 / 6
LCM(32430,32448) = 175381440

Least Common Multiple (LCM) of 32430 and 32448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32430 and 32448. First we will calculate the prime factors of 32430 and 32448.

Prime Factorization of 32430

Prime Factorization of 32448

Now multiplying the highest exponent prime factors to calculate the LCM of 32430 and 32448.

LCM(32430,32448) = 2⁶ × 3¹ × 5¹ × 23¹ × 47¹ × 13²
LCM(32430,32448) = 175381440