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What is the Least Common Multiple of 88501 and 88511?

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 88501 and 88511 is 7833312011.

LCM(88501,88511) = 7833312011

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Least Common Multiple of 88501 and 88511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88501 and 88511, than apply into the LCM equation.

GCF(88501,88511) = 1
LCM(88501,88511) = ( 88501 × 88511) / 1
LCM(88501,88511) = 7833312011 / 1
LCM(88501,88511) = 7833312011

Least Common Multiple (LCM) of 88501 and 88511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88501 and 88511. First we will calculate the prime factors of 88501 and 88511.

Prime Factorization of 88501

Prime factors of 88501 are 7, 47, 269. Prime factorization of 88501 in exponential form is:

88501 = 71 × 471 × 2691

Prime Factorization of 88511

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

88511 = 611 × 14511

Now multiplying the highest exponent prime factors to calculate the LCM of 88501 and 88511.

LCM(88501,88511) = 71 × 471 × 2691 × 611 × 14511
LCM(88501,88511) = 7833312011