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What is the Least Common Multiple of 9495 and 9513?

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 9513 is 10036215.

LCM(9495,9513) = 10036215

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Least Common Multiple of 9495 and 9513 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 9513, than apply into the LCM equation.

GCF(9495,9513) = 9
LCM(9495,9513) = ( 9495 × 9513) / 9
LCM(9495,9513) = 90325935 / 9
LCM(9495,9513) = 10036215

Least Common Multiple (LCM) of 9495 and 9513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9495 and 9513. First we will calculate the prime factors of 9495 and 9513.

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 9513

Prime factors of 9513 are 3, 7, 151. Prime factorization of 9513 in exponential form is:

9513 = 32 × 71 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 9495 and 9513.

LCM(9495,9513) = 32 × 51 × 2111 × 71 × 1511
LCM(9495,9513) = 10036215