What is the Least Common Multiple of 52809 and 52813?

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 52809 and 52813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52809 and 52813, than apply into the LCM equation.

GCF(52809,52813) = 1
LCM(52809,52813) = ( 52809 × 52813) / 1
LCM(52809,52813) = 2789001717 / 1
LCM(52809,52813) = 2789001717

Least Common Multiple (LCM) of 52809 and 52813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52809 and 52813. First we will calculate the prime factors of 52809 and 52813.

Prime Factorization of 52809

Prime Factorization of 52813

Now multiplying the highest exponent prime factors to calculate the LCM of 52809 and 52813.

LCM(52809,52813) = 3¹ × 29¹ × 607¹ × 52813¹
LCM(52809,52813) = 2789001717