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What is the Least Common Multiple of 87287 and 87303?

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 87287 and 87303 is 7620416961.

LCM(87287,87303) = 7620416961

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Least Common Multiple of 87287 and 87303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87287 and 87303, than apply into the LCM equation.

GCF(87287,87303) = 1
LCM(87287,87303) = ( 87287 × 87303) / 1
LCM(87287,87303) = 7620416961 / 1
LCM(87287,87303) = 7620416961

Least Common Multiple (LCM) of 87287 and 87303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87287 and 87303. First we will calculate the prime factors of 87287 and 87303.

Prime Factorization of 87287

Prime factors of 87287 are 191, 457. Prime factorization of 87287 in exponential form is:

87287 = 1911 × 4571

Prime Factorization of 87303

Prime factors of 87303 are 3, 29101. Prime factorization of 87303 in exponential form is:

87303 = 31 × 291011

Now multiplying the highest exponent prime factors to calculate the LCM of 87287 and 87303.

LCM(87287,87303) = 1911 × 4571 × 31 × 291011
LCM(87287,87303) = 7620416961