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What is the Least Common Multiple of 9495 and 9510?

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 9495 and 9510 is 6019830.

LCM(9495,9510) = 6019830

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Least Common Multiple of 9495 and 9510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9495 and 9510, than apply into the LCM equation.

GCF(9495,9510) = 15
LCM(9495,9510) = ( 9495 × 9510) / 15
LCM(9495,9510) = 90297450 / 15
LCM(9495,9510) = 6019830

Least Common Multiple (LCM) of 9495 and 9510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9495 and 9510. First we will calculate the prime factors of 9495 and 9510.

Prime Factorization of 9495

Prime factors of 9495 are 3, 5, 211. Prime factorization of 9495 in exponential form is:

9495 = 32 × 51 × 2111

Prime Factorization of 9510

Prime factors of 9510 are 2, 3, 5, 317. Prime factorization of 9510 in exponential form is:

9510 = 21 × 31 × 51 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 9495 and 9510.

LCM(9495,9510) = 32 × 51 × 2111 × 21 × 3171
LCM(9495,9510) = 6019830