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What is the Least Common Multiple of 9555 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 (LCM) of 9555 and 9570 is 6096090.

LCM(9555,9570) = 6096090

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Least Common Multiple of 9555 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 9555 and 9570, than apply into the LCM equation.

GCF(9555,9570) = 15
LCM(9555,9570) = ( 9555 × 9570) / 15
LCM(9555,9570) = 91441350 / 15
LCM(9555,9570) = 6096090

Least Common Multiple (LCM) of 9555 and 9570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9555 and 9570. First we will calculate the prime factors of 9555 and 9570.

Prime Factorization of 9555

Prime factors of 9555 are 3, 5, 7, 13. Prime factorization of 9555 in exponential form is:

9555 = 31 × 51 × 72 × 131

Prime Factorization of 9570

Prime factors of 9570 are 2, 3, 5, 11, 29. Prime factorization of 9570 in exponential form is:

9570 = 21 × 31 × 51 × 111 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 9555 and 9570.

LCM(9555,9570) = 31 × 51 × 72 × 131 × 21 × 111 × 291
LCM(9555,9570) = 6096090