What is the Least Common Multiple of 71591 and 71611?

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 71591 and 71611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71591 and 71611, than apply into the LCM equation.

GCF(71591,71611) = 1
LCM(71591,71611) = ( 71591 × 71611) / 1
LCM(71591,71611) = 5126703101 / 1
LCM(71591,71611) = 5126703101

Least Common Multiple (LCM) of 71591 and 71611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71591 and 71611. First we will calculate the prime factors of 71591 and 71611.

Prime Factorization of 71591

Prime Factorization of 71611

Now multiplying the highest exponent prime factors to calculate the LCM of 71591 and 71611.

LCM(71591,71611) = 13¹ × 5507¹ × 19¹ × 3769¹
LCM(71591,71611) = 5126703101