What is the Least Common Multiple of 9570 and 9587?

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 9570 and 9587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9570 and 9587, than apply into the LCM equation.

GCF(9570,9587) = 1
LCM(9570,9587) = ( 9570 × 9587) / 1
LCM(9570,9587) = 91747590 / 1
LCM(9570,9587) = 91747590

Least Common Multiple (LCM) of 9570 and 9587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9570 and 9587. First we will calculate the prime factors of 9570 and 9587.

Prime Factorization of 9570

Prime Factorization of 9587

Now multiplying the highest exponent prime factors to calculate the LCM of 9570 and 9587.

LCM(9570,9587) = 2¹ × 3¹ × 5¹ × 11¹ × 29¹ × 9587¹
LCM(9570,9587) = 91747590