What is the Least Common Multiple of 51014 and 51033?

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 51014 and 51033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51014 and 51033, than apply into the LCM equation.

GCF(51014,51033) = 1
LCM(51014,51033) = ( 51014 × 51033) / 1
LCM(51014,51033) = 2603397462 / 1
LCM(51014,51033) = 2603397462

Least Common Multiple (LCM) of 51014 and 51033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51014 and 51033. First we will calculate the prime factors of 51014 and 51033.

Prime Factorization of 51014

Prime Factorization of 51033

Now multiplying the highest exponent prime factors to calculate the LCM of 51014 and 51033.

LCM(51014,51033) = 2¹ × 23¹ × 1109¹ × 3¹ × 17011¹
LCM(51014,51033) = 2603397462