What is the Least Common Multiple of 32446 and 32452?

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 32446 and 32452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32446 and 32452, than apply into the LCM equation.

GCF(32446,32452) = 2
LCM(32446,32452) = ( 32446 × 32452) / 2
LCM(32446,32452) = 1052937592 / 2
LCM(32446,32452) = 526468796

Least Common Multiple (LCM) of 32446 and 32452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32446 and 32452. First we will calculate the prime factors of 32446 and 32452.

Prime Factorization of 32446

Prime Factorization of 32452

Now multiplying the highest exponent prime factors to calculate the LCM of 32446 and 32452.

LCM(32446,32452) = 2² × 16223¹ × 7¹ × 19¹ × 61¹
LCM(32446,32452) = 526468796