What is the Least Common Multiple of 48002 and 48014?

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 48002 and 48014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48002 and 48014, than apply into the LCM equation.

GCF(48002,48014) = 2
LCM(48002,48014) = ( 48002 × 48014) / 2
LCM(48002,48014) = 2304768028 / 2
LCM(48002,48014) = 1152384014

Least Common Multiple (LCM) of 48002 and 48014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48002 and 48014. First we will calculate the prime factors of 48002 and 48014.

Prime Factorization of 48002

Prime Factorization of 48014

Now multiplying the highest exponent prime factors to calculate the LCM of 48002 and 48014.

LCM(48002,48014) = 2¹ × 24001¹ × 24007¹
LCM(48002,48014) = 1152384014