What is the Least Common Multiple of 32428 and 32439?

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 32428 and 32439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32428 and 32439, than apply into the LCM equation.

GCF(32428,32439) = 11
LCM(32428,32439) = ( 32428 × 32439) / 11
LCM(32428,32439) = 1051931892 / 11
LCM(32428,32439) = 95630172

Least Common Multiple (LCM) of 32428 and 32439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32428 and 32439. First we will calculate the prime factors of 32428 and 32439.

Prime Factorization of 32428

Prime Factorization of 32439

Now multiplying the highest exponent prime factors to calculate the LCM of 32428 and 32439.

LCM(32428,32439) = 2² × 11² × 67¹ × 3¹ × 983¹
LCM(32428,32439) = 95630172