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What is the Least Common Multiple of 88027 and 88039?

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 88027 and 88039 is 7749809053.

LCM(88027,88039) = 7749809053

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Least Common Multiple of 88027 and 88039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88027 and 88039, than apply into the LCM equation.

GCF(88027,88039) = 1
LCM(88027,88039) = ( 88027 × 88039) / 1
LCM(88027,88039) = 7749809053 / 1
LCM(88027,88039) = 7749809053

Least Common Multiple (LCM) of 88027 and 88039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88027 and 88039. First we will calculate the prime factors of 88027 and 88039.

Prime Factorization of 88027

Prime factors of 88027 are 19, 41, 113. Prime factorization of 88027 in exponential form is:

88027 = 191 × 411 × 1131

Prime Factorization of 88039

Prime factors of 88039 are 7, 12577. Prime factorization of 88039 in exponential form is:

88039 = 71 × 125771

Now multiplying the highest exponent prime factors to calculate the LCM of 88027 and 88039.

LCM(88027,88039) = 191 × 411 × 1131 × 71 × 125771
LCM(88027,88039) = 7749809053