What is the Least Common Multiple of 15014 and 15033?

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 15014 and 15033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15014 and 15033, than apply into the LCM equation.

GCF(15014,15033) = 1
LCM(15014,15033) = ( 15014 × 15033) / 1
LCM(15014,15033) = 225705462 / 1
LCM(15014,15033) = 225705462

Least Common Multiple (LCM) of 15014 and 15033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15014 and 15033. First we will calculate the prime factors of 15014 and 15033.

Prime Factorization of 15014

Prime Factorization of 15033

Now multiplying the highest exponent prime factors to calculate the LCM of 15014 and 15033.

LCM(15014,15033) = 2¹ × 7507¹ × 3¹ × 5011¹
LCM(15014,15033) = 225705462