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What is the Least Common Multiple of 87789 and 87806?

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 87789 and 87806 is 7708400934.

LCM(87789,87806) = 7708400934

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Least Common Multiple of 87789 and 87806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87789 and 87806, than apply into the LCM equation.

GCF(87789,87806) = 1
LCM(87789,87806) = ( 87789 × 87806) / 1
LCM(87789,87806) = 7708400934 / 1
LCM(87789,87806) = 7708400934

Least Common Multiple (LCM) of 87789 and 87806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87789 and 87806. First we will calculate the prime factors of 87789 and 87806.

Prime Factorization of 87789

Prime factors of 87789 are 3, 13, 2251. Prime factorization of 87789 in exponential form is:

87789 = 31 × 131 × 22511

Prime Factorization of 87806

Prime factors of 87806 are 2, 43, 1021. Prime factorization of 87806 in exponential form is:

87806 = 21 × 431 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 87789 and 87806.

LCM(87789,87806) = 31 × 131 × 22511 × 21 × 431 × 10211
LCM(87789,87806) = 7708400934