What is the Least Common Multiple of 52993 and 53003?

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 52993 and 53003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52993 and 53003, than apply into the LCM equation.

GCF(52993,53003) = 1
LCM(52993,53003) = ( 52993 × 53003) / 1
LCM(52993,53003) = 2808787979 / 1
LCM(52993,53003) = 2808787979

Least Common Multiple (LCM) of 52993 and 53003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52993 and 53003. First we will calculate the prime factors of 52993 and 53003.

Prime Factorization of 52993

Prime Factorization of 53003

Now multiplying the highest exponent prime factors to calculate the LCM of 52993 and 53003.

LCM(52993,53003) = 197¹ × 269¹ × 53003¹
LCM(52993,53003) = 2808787979