What is the Least Common Multiple of 48032 and 48038?

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 48032 and 48038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48032 and 48038, than apply into the LCM equation.

GCF(48032,48038) = 2
LCM(48032,48038) = ( 48032 × 48038) / 2
LCM(48032,48038) = 2307361216 / 2
LCM(48032,48038) = 1153680608

Least Common Multiple (LCM) of 48032 and 48038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48032 and 48038. First we will calculate the prime factors of 48032 and 48038.

Prime Factorization of 48032

Prime Factorization of 48038

Now multiplying the highest exponent prime factors to calculate the LCM of 48032 and 48038.

LCM(48032,48038) = 2⁵ × 19¹ × 79¹ × 24019¹
LCM(48032,48038) = 1153680608