What is the Least Common Multiple of 1573 and 1591?

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 1573 and 1591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1573 and 1591, than apply into the LCM equation.

GCF(1573,1591) = 1
LCM(1573,1591) = ( 1573 × 1591) / 1
LCM(1573,1591) = 2502643 / 1
LCM(1573,1591) = 2502643

Least Common Multiple (LCM) of 1573 and 1591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1573 and 1591. First we will calculate the prime factors of 1573 and 1591.

Prime Factorization of 1573

Prime Factorization of 1591

Now multiplying the highest exponent prime factors to calculate the LCM of 1573 and 1591.

LCM(1573,1591) = 11² × 13¹ × 37¹ × 43¹
LCM(1573,1591) = 2502643