What is the Least Common Multiple of 53001 and 53010?

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 53001 and 53010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53001 and 53010, than apply into the LCM equation.

GCF(53001,53010) = 9
LCM(53001,53010) = ( 53001 × 53010) / 9
LCM(53001,53010) = 2809583010 / 9
LCM(53001,53010) = 312175890

Least Common Multiple (LCM) of 53001 and 53010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53001 and 53010. First we will calculate the prime factors of 53001 and 53010.

Prime Factorization of 53001

Prime Factorization of 53010

Now multiplying the highest exponent prime factors to calculate the LCM of 53001 and 53010.

LCM(53001,53010) = 3³ × 13¹ × 151¹ × 2¹ × 5¹ × 19¹ × 31¹
LCM(53001,53010) = 312175890