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What is the Least Common Multiple of 87777 and 87782?

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 87777 and 87782 is 7705240614.

LCM(87777,87782) = 7705240614

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Least Common Multiple of 87777 and 87782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87777 and 87782, than apply into the LCM equation.

GCF(87777,87782) = 1
LCM(87777,87782) = ( 87777 × 87782) / 1
LCM(87777,87782) = 7705240614 / 1
LCM(87777,87782) = 7705240614

Least Common Multiple (LCM) of 87777 and 87782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87777 and 87782. First we will calculate the prime factors of 87777 and 87782.

Prime Factorization of 87777

Prime factors of 87777 are 3, 3251. Prime factorization of 87777 in exponential form is:

87777 = 33 × 32511

Prime Factorization of 87782

Prime factors of 87782 are 2, 43891. Prime factorization of 87782 in exponential form is:

87782 = 21 × 438911

Now multiplying the highest exponent prime factors to calculate the LCM of 87777 and 87782.

LCM(87777,87782) = 33 × 32511 × 21 × 438911
LCM(87777,87782) = 7705240614