What is the Least Common Multiple of 32408 and 32424?

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 32408 and 32424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32408 and 32424, than apply into the LCM equation.

GCF(32408,32424) = 8
LCM(32408,32424) = ( 32408 × 32424) / 8
LCM(32408,32424) = 1050796992 / 8
LCM(32408,32424) = 131349624

Least Common Multiple (LCM) of 32408 and 32424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32408 and 32424. First we will calculate the prime factors of 32408 and 32424.

Prime Factorization of 32408

Prime Factorization of 32424

Now multiplying the highest exponent prime factors to calculate the LCM of 32408 and 32424.

LCM(32408,32424) = 2³ × 4051¹ × 3¹ × 7¹ × 193¹
LCM(32408,32424) = 131349624