What is the Least Common Multiple of 52815 and 52823?

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 52815 and 52823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52815 and 52823, than apply into the LCM equation.

GCF(52815,52823) = 1
LCM(52815,52823) = ( 52815 × 52823) / 1
LCM(52815,52823) = 2789846745 / 1
LCM(52815,52823) = 2789846745

Least Common Multiple (LCM) of 52815 and 52823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52815 and 52823. First we will calculate the prime factors of 52815 and 52823.

Prime Factorization of 52815

Prime Factorization of 52823

Now multiplying the highest exponent prime factors to calculate the LCM of 52815 and 52823.

LCM(52815,52823) = 3¹ × 5¹ × 7¹ × 503¹ × 101¹ × 523¹
LCM(52815,52823) = 2789846745