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What is the Least Common Multiple of 87807 and 87818?

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 87807 and 87818 is 7711035126.

LCM(87807,87818) = 7711035126

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Least Common Multiple of 87807 and 87818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87807 and 87818, than apply into the LCM equation.

GCF(87807,87818) = 1
LCM(87807,87818) = ( 87807 × 87818) / 1
LCM(87807,87818) = 7711035126 / 1
LCM(87807,87818) = 7711035126

Least Common Multiple (LCM) of 87807 and 87818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87807 and 87818. First we will calculate the prime factors of 87807 and 87818.

Prime Factorization of 87807

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

87807 = 31 × 292691

Prime Factorization of 87818

Prime factors of 87818 are 2, 19, 2311. Prime factorization of 87818 in exponential form is:

87818 = 21 × 191 × 23111

Now multiplying the highest exponent prime factors to calculate the LCM of 87807 and 87818.

LCM(87807,87818) = 31 × 292691 × 21 × 191 × 23111
LCM(87807,87818) = 7711035126