What is the Least Common Multiple of 77593 and 77611?

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 77593 and 77611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77593 and 77611, than apply into the LCM equation.

GCF(77593,77611) = 1
LCM(77593,77611) = ( 77593 × 77611) / 1
LCM(77593,77611) = 6022070323 / 1
LCM(77593,77611) = 6022070323

Least Common Multiple (LCM) of 77593 and 77611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77593 and 77611. First we will calculate the prime factors of 77593 and 77611.

Prime Factorization of 77593

Prime Factorization of 77611

Now multiplying the highest exponent prime factors to calculate the LCM of 77593 and 77611.

LCM(77593,77611) = 31¹ × 2503¹ × 77611¹
LCM(77593,77611) = 6022070323