What is the Least Common Multiple of 52083 and 52102?

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 52083 and 52102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52083 and 52102, than apply into the LCM equation.

GCF(52083,52102) = 1
LCM(52083,52102) = ( 52083 × 52102) / 1
LCM(52083,52102) = 2713628466 / 1
LCM(52083,52102) = 2713628466

Least Common Multiple (LCM) of 52083 and 52102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52083 and 52102. First we will calculate the prime factors of 52083 and 52102.

Prime Factorization of 52083

Prime Factorization of 52102

Now multiplying the highest exponent prime factors to calculate the LCM of 52083 and 52102.

LCM(52083,52102) = 3⁴ × 643¹ × 2¹ × 109¹ × 239¹
LCM(52083,52102) = 2713628466