What is the Least Common Multiple of 52591 and 52611?

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 52591 and 52611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52591 and 52611, than apply into the LCM equation.

GCF(52591,52611) = 1
LCM(52591,52611) = ( 52591 × 52611) / 1
LCM(52591,52611) = 2766865101 / 1
LCM(52591,52611) = 2766865101

Least Common Multiple (LCM) of 52591 and 52611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52591 and 52611. First we will calculate the prime factors of 52591 and 52611.

Prime Factorization of 52591

Prime Factorization of 52611

Now multiplying the highest exponent prime factors to calculate the LCM of 52591 and 52611.

LCM(52591,52611) = 7¹ × 11¹ × 683¹ × 3¹ × 13¹ × 19¹ × 71¹
LCM(52591,52611) = 2766865101