What is the Least Common Multiple of 52689 and 52699?

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 52689 and 52699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52689 and 52699, than apply into the LCM equation.

GCF(52689,52699) = 1
LCM(52689,52699) = ( 52689 × 52699) / 1
LCM(52689,52699) = 2776657611 / 1
LCM(52689,52699) = 2776657611

Least Common Multiple (LCM) of 52689 and 52699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52689 and 52699. First we will calculate the prime factors of 52689 and 52699.

Prime Factorization of 52689

Prime Factorization of 52699

Now multiplying the highest exponent prime factors to calculate the LCM of 52689 and 52699.

LCM(52689,52699) = 3¹ × 7¹ × 13¹ × 193¹ × 151¹ × 349¹
LCM(52689,52699) = 2776657611