What is the Least Common Multiple of 52723 and 52738?

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 52723 and 52738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52723 and 52738, than apply into the LCM equation.

GCF(52723,52738) = 1
LCM(52723,52738) = ( 52723 × 52738) / 1
LCM(52723,52738) = 2780505574 / 1
LCM(52723,52738) = 2780505574

Least Common Multiple (LCM) of 52723 and 52738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52723 and 52738. First we will calculate the prime factors of 52723 and 52738.

Prime Factorization of 52723

Prime Factorization of 52738

Now multiplying the highest exponent prime factors to calculate the LCM of 52723 and 52738.

LCM(52723,52738) = 11¹ × 4793¹ × 2¹ × 7¹ × 3767¹
LCM(52723,52738) = 2780505574