What is the Least Common Multiple of 9561 and 9570?

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 9561 and 9570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9561 and 9570, than apply into the LCM equation.

GCF(9561,9570) = 3
LCM(9561,9570) = ( 9561 × 9570) / 3
LCM(9561,9570) = 91498770 / 3
LCM(9561,9570) = 30499590

Least Common Multiple (LCM) of 9561 and 9570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9561 and 9570. First we will calculate the prime factors of 9561 and 9570.

Prime Factorization of 9561

Prime Factorization of 9570

Now multiplying the highest exponent prime factors to calculate the LCM of 9561 and 9570.

LCM(9561,9570) = 3¹ × 3187¹ × 2¹ × 5¹ × 11¹ × 29¹
LCM(9561,9570) = 30499590