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What is the Least Common Multiple of 93503 and 93516?

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 93503 and 93516 is 8744026548.

LCM(93503,93516) = 8744026548

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Least Common Multiple of 93503 and 93516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93503 and 93516, than apply into the LCM equation.

GCF(93503,93516) = 1
LCM(93503,93516) = ( 93503 × 93516) / 1
LCM(93503,93516) = 8744026548 / 1
LCM(93503,93516) = 8744026548

Least Common Multiple (LCM) of 93503 and 93516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93503 and 93516. First we will calculate the prime factors of 93503 and 93516.

Prime Factorization of 93503

Prime factors of 93503 are 93503. Prime factorization of 93503 in exponential form is:

93503 = 935031

Prime Factorization of 93516

Prime factors of 93516 are 2, 3, 7793. Prime factorization of 93516 in exponential form is:

93516 = 22 × 31 × 77931

Now multiplying the highest exponent prime factors to calculate the LCM of 93503 and 93516.

LCM(93503,93516) = 935031 × 22 × 31 × 77931
LCM(93503,93516) = 8744026548