What is the Least Common Multiple of 51014 and 51034?

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 51034 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 51034, than apply into the LCM equation.

GCF(51014,51034) = 2
LCM(51014,51034) = ( 51014 × 51034) / 2
LCM(51014,51034) = 2603448476 / 2
LCM(51014,51034) = 1301724238

Least Common Multiple (LCM) of 51014 and 51034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51014 and 51034. First we will calculate the prime factors of 51014 and 51034.

Prime Factorization of 51014

Prime Factorization of 51034

Now multiplying the highest exponent prime factors to calculate the LCM of 51014 and 51034.

LCM(51014,51034) = 2¹ × 23¹ × 1109¹ × 17¹ × 19¹ × 79¹
LCM(51014,51034) = 1301724238