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What is the Least Common Multiple of 87797 and 87807?

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 87797 and 87807 is 7709191179.

LCM(87797,87807) = 7709191179

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Least Common Multiple of 87797 and 87807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87797 and 87807, than apply into the LCM equation.

GCF(87797,87807) = 1
LCM(87797,87807) = ( 87797 × 87807) / 1
LCM(87797,87807) = 7709191179 / 1
LCM(87797,87807) = 7709191179

Least Common Multiple (LCM) of 87797 and 87807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87797 and 87807. First we will calculate the prime factors of 87797 and 87807.

Prime Factorization of 87797

Prime factors of 87797 are 87797. Prime factorization of 87797 in exponential form is:

87797 = 877971

Prime Factorization of 87807

Prime factors of 87807 are 3, 29269. Prime factorization of 87807 in exponential form is:

87807 = 31 × 292691

Now multiplying the highest exponent prime factors to calculate the LCM of 87797 and 87807.

LCM(87797,87807) = 877971 × 31 × 292691
LCM(87797,87807) = 7709191179