What is the Least Common Multiple of 32424 and 32436?

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 32424 and 32436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32424 and 32436, than apply into the LCM equation.

GCF(32424,32436) = 12
LCM(32424,32436) = ( 32424 × 32436) / 12
LCM(32424,32436) = 1051704864 / 12
LCM(32424,32436) = 87642072

Least Common Multiple (LCM) of 32424 and 32436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32424 and 32436. First we will calculate the prime factors of 32424 and 32436.

Prime Factorization of 32424

Prime Factorization of 32436

Now multiplying the highest exponent prime factors to calculate the LCM of 32424 and 32436.

LCM(32424,32436) = 2³ × 3² × 7¹ × 193¹ × 17¹ × 53¹
LCM(32424,32436) = 87642072