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What is the Least Common Multiple of 87788 and 87799?

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 87788 and 87799 is 7707698612.

LCM(87788,87799) = 7707698612

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Least Common Multiple of 87788 and 87799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87788 and 87799, than apply into the LCM equation.

GCF(87788,87799) = 1
LCM(87788,87799) = ( 87788 × 87799) / 1
LCM(87788,87799) = 7707698612 / 1
LCM(87788,87799) = 7707698612

Least Common Multiple (LCM) of 87788 and 87799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87788 and 87799. First we will calculate the prime factors of 87788 and 87799.

Prime Factorization of 87788

Prime factors of 87788 are 2, 17, 1291. Prime factorization of 87788 in exponential form is:

87788 = 22 × 171 × 12911

Prime Factorization of 87799

Prime factors of 87799 are 19, 4621. Prime factorization of 87799 in exponential form is:

87799 = 191 × 46211

Now multiplying the highest exponent prime factors to calculate the LCM of 87788 and 87799.

LCM(87788,87799) = 22 × 171 × 12911 × 191 × 46211
LCM(87788,87799) = 7707698612