What is the Least Common Multiple of 32013 and 32030?

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 32013 and 32030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32013 and 32030, than apply into the LCM equation.

GCF(32013,32030) = 1
LCM(32013,32030) = ( 32013 × 32030) / 1
LCM(32013,32030) = 1025376390 / 1
LCM(32013,32030) = 1025376390

Least Common Multiple (LCM) of 32013 and 32030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32013 and 32030. First we will calculate the prime factors of 32013 and 32030.

Prime Factorization of 32013

Prime Factorization of 32030

Now multiplying the highest exponent prime factors to calculate the LCM of 32013 and 32030.

LCM(32013,32030) = 3² × 3557¹ × 2¹ × 5¹ × 3203¹
LCM(32013,32030) = 1025376390