What is the Least Common Multiple of 52791 and 52798?

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 52791 and 52798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52791 and 52798, than apply into the LCM equation.

GCF(52791,52798) = 1
LCM(52791,52798) = ( 52791 × 52798) / 1
LCM(52791,52798) = 2787259218 / 1
LCM(52791,52798) = 2787259218

Least Common Multiple (LCM) of 52791 and 52798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52791 and 52798. First we will calculate the prime factors of 52791 and 52798.

Prime Factorization of 52791

Prime Factorization of 52798

Now multiplying the highest exponent prime factors to calculate the LCM of 52791 and 52798.

LCM(52791,52798) = 3¹ × 17597¹ × 2¹ × 26399¹
LCM(52791,52798) = 2787259218