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What is the Least Common Multiple of 88511 and 88527?

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 88511 and 88527 is 7835613297.

LCM(88511,88527) = 7835613297

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Least Common Multiple of 88511 and 88527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88511 and 88527, than apply into the LCM equation.

GCF(88511,88527) = 1
LCM(88511,88527) = ( 88511 × 88527) / 1
LCM(88511,88527) = 7835613297 / 1
LCM(88511,88527) = 7835613297

Least Common Multiple (LCM) of 88511 and 88527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88511 and 88527. First we will calculate the prime factors of 88511 and 88527.

Prime Factorization of 88511

Prime factors of 88511 are 61, 1451. Prime factorization of 88511 in exponential form is:

88511 = 611 × 14511

Prime Factorization of 88527

Prime factors of 88527 are 3, 23, 1283. Prime factorization of 88527 in exponential form is:

88527 = 31 × 231 × 12831

Now multiplying the highest exponent prime factors to calculate the LCM of 88511 and 88527.

LCM(88511,88527) = 611 × 14511 × 31 × 231 × 12831
LCM(88511,88527) = 7835613297