What is the Least Common Multiple of 52823 and 52843?

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 52823 and 52843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52823 and 52843, than apply into the LCM equation.

GCF(52823,52843) = 1
LCM(52823,52843) = ( 52823 × 52843) / 1
LCM(52823,52843) = 2791325789 / 1
LCM(52823,52843) = 2791325789

Least Common Multiple (LCM) of 52823 and 52843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52823 and 52843. First we will calculate the prime factors of 52823 and 52843.

Prime Factorization of 52823

Prime Factorization of 52843

Now multiplying the highest exponent prime factors to calculate the LCM of 52823 and 52843.

LCM(52823,52843) = 101¹ × 523¹ × 7¹ × 7549¹
LCM(52823,52843) = 2791325789