What is the Least Common Multiple of 48014 and 48033?

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 48014 and 48033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48014 and 48033, than apply into the LCM equation.

GCF(48014,48033) = 1
LCM(48014,48033) = ( 48014 × 48033) / 1
LCM(48014,48033) = 2306256462 / 1
LCM(48014,48033) = 2306256462

Least Common Multiple (LCM) of 48014 and 48033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48014 and 48033. First we will calculate the prime factors of 48014 and 48033.

Prime Factorization of 48014

Prime Factorization of 48033

Now multiplying the highest exponent prime factors to calculate the LCM of 48014 and 48033.

LCM(48014,48033) = 2¹ × 24007¹ × 3⁴ × 593¹
LCM(48014,48033) = 2306256462