What is the Least Common Multiple of 32034 and 32038?

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 32034 and 32038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32034 and 32038, than apply into the LCM equation.

GCF(32034,32038) = 2
LCM(32034,32038) = ( 32034 × 32038) / 2
LCM(32034,32038) = 1026305292 / 2
LCM(32034,32038) = 513152646

Least Common Multiple (LCM) of 32034 and 32038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32034 and 32038. First we will calculate the prime factors of 32034 and 32038.

Prime Factorization of 32034

Prime Factorization of 32038

Now multiplying the highest exponent prime factors to calculate the LCM of 32034 and 32038.

LCM(32034,32038) = 2¹ × 3¹ × 19¹ × 281¹ × 83¹ × 193¹
LCM(32034,32038) = 513152646