What is the Least Common Multiple of 52753 and 52773?

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 52753 and 52773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52753 and 52773, than apply into the LCM equation.

GCF(52753,52773) = 1
LCM(52753,52773) = ( 52753 × 52773) / 1
LCM(52753,52773) = 2783934069 / 1
LCM(52753,52773) = 2783934069

Least Common Multiple (LCM) of 52753 and 52773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52753 and 52773. First we will calculate the prime factors of 52753 and 52773.

Prime Factorization of 52753

Prime Factorization of 52773

Now multiplying the highest exponent prime factors to calculate the LCM of 52753 and 52773.

LCM(52753,52773) = 71¹ × 743¹ × 3¹ × 7² × 359¹
LCM(52753,52773) = 2783934069