What is the Least Common Multiple of 53013 and 53027?

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 53013 and 53027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53013 and 53027, than apply into the LCM equation.

GCF(53013,53027) = 1
LCM(53013,53027) = ( 53013 × 53027) / 1
LCM(53013,53027) = 2811120351 / 1
LCM(53013,53027) = 2811120351

Least Common Multiple (LCM) of 53013 and 53027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53013 and 53027. First we will calculate the prime factors of 53013 and 53027.

Prime Factorization of 53013

Prime Factorization of 53027

Now multiplying the highest exponent prime factors to calculate the LCM of 53013 and 53027.

LCM(53013,53027) = 3¹ × 41¹ × 431¹ × 13¹ × 4079¹
LCM(53013,53027) = 2811120351