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What is the Least Common Multiple of 87775 and 87781?

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 87775 and 87781 is 7704977275.

LCM(87775,87781) = 7704977275

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Least Common Multiple of 87775 and 87781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87775 and 87781, than apply into the LCM equation.

GCF(87775,87781) = 1
LCM(87775,87781) = ( 87775 × 87781) / 1
LCM(87775,87781) = 7704977275 / 1
LCM(87775,87781) = 7704977275

Least Common Multiple (LCM) of 87775 and 87781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87775 and 87781. First we will calculate the prime factors of 87775 and 87781.

Prime Factorization of 87775

Prime factors of 87775 are 5, 3511. Prime factorization of 87775 in exponential form is:

87775 = 52 × 35111

Prime Factorization of 87781

Prime factors of 87781 are 41, 2141. Prime factorization of 87781 in exponential form is:

87781 = 411 × 21411

Now multiplying the highest exponent prime factors to calculate the LCM of 87775 and 87781.

LCM(87775,87781) = 52 × 35111 × 411 × 21411
LCM(87775,87781) = 7704977275