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What is the Least Common Multiple of 88007 and 88027?

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 88007 and 88027 is 7746992189.

LCM(88007,88027) = 7746992189

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Least Common Multiple of 88007 and 88027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88007 and 88027, than apply into the LCM equation.

GCF(88007,88027) = 1
LCM(88007,88027) = ( 88007 × 88027) / 1
LCM(88007,88027) = 7746992189 / 1
LCM(88007,88027) = 7746992189

Least Common Multiple (LCM) of 88007 and 88027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88007 and 88027. First we will calculate the prime factors of 88007 and 88027.

Prime Factorization of 88007

Prime factors of 88007 are 88007. Prime factorization of 88007 in exponential form is:

88007 = 880071

Prime Factorization of 88027

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

88027 = 191 × 411 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 88007 and 88027.

LCM(88007,88027) = 880071 × 191 × 411 × 1131
LCM(88007,88027) = 7746992189