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What is the Least Common Multiple of 94497 and 94510?

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 94497 and 94510 is 686993190.

LCM(94497,94510) = 686993190

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Least Common Multiple of 94497 and 94510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94497 and 94510, than apply into the LCM equation.

GCF(94497,94510) = 13
LCM(94497,94510) = ( 94497 × 94510) / 13
LCM(94497,94510) = 8930911470 / 13
LCM(94497,94510) = 686993190

Least Common Multiple (LCM) of 94497 and 94510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94497 and 94510. First we will calculate the prime factors of 94497 and 94510.

Prime Factorization of 94497

Prime factors of 94497 are 3, 13, 2423. Prime factorization of 94497 in exponential form is:

94497 = 31 × 131 × 24231

Prime Factorization of 94510

Prime factors of 94510 are 2, 5, 13, 727. Prime factorization of 94510 in exponential form is:

94510 = 21 × 51 × 131 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 94497 and 94510.

LCM(94497,94510) = 31 × 131 × 24231 × 21 × 51 × 7271
LCM(94497,94510) = 686993190