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What is the Least Common Multiple of 93511 and 93529?

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 93511 and 93529 is 8745990319.

LCM(93511,93529) = 8745990319

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Least Common Multiple of 93511 and 93529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93511 and 93529, than apply into the LCM equation.

GCF(93511,93529) = 1
LCM(93511,93529) = ( 93511 × 93529) / 1
LCM(93511,93529) = 8745990319 / 1
LCM(93511,93529) = 8745990319

Least Common Multiple (LCM) of 93511 and 93529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93511 and 93529. First we will calculate the prime factors of 93511 and 93529.

Prime Factorization of 93511

Prime factors of 93511 are 11, 8501. Prime factorization of 93511 in exponential form is:

93511 = 111 × 85011

Prime Factorization of 93529

Prime factors of 93529 are 93529. Prime factorization of 93529 in exponential form is:

93529 = 935291

Now multiplying the highest exponent prime factors to calculate the LCM of 93511 and 93529.

LCM(93511,93529) = 111 × 85011 × 935291
LCM(93511,93529) = 8745990319