What is the Least Common Multiple of 32448 and 32460?

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 32448 and 32460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32448 and 32460, than apply into the LCM equation.

GCF(32448,32460) = 12
LCM(32448,32460) = ( 32448 × 32460) / 12
LCM(32448,32460) = 1053262080 / 12
LCM(32448,32460) = 87771840

Least Common Multiple (LCM) of 32448 and 32460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32448 and 32460. First we will calculate the prime factors of 32448 and 32460.

Prime Factorization of 32448

Prime Factorization of 32460

Now multiplying the highest exponent prime factors to calculate the LCM of 32448 and 32460.

LCM(32448,32460) = 2⁶ × 3¹ × 13² × 5¹ × 541¹
LCM(32448,32460) = 87771840