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What is the Least Common Multiple of 87767 and 87779?

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 87767 and 87779 is 7704099493.

LCM(87767,87779) = 7704099493

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Least Common Multiple of 87767 and 87779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87767 and 87779, than apply into the LCM equation.

GCF(87767,87779) = 1
LCM(87767,87779) = ( 87767 × 87779) / 1
LCM(87767,87779) = 7704099493 / 1
LCM(87767,87779) = 7704099493

Least Common Multiple (LCM) of 87767 and 87779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87767 and 87779. First we will calculate the prime factors of 87767 and 87779.

Prime Factorization of 87767

Prime factors of 87767 are 87767. Prime factorization of 87767 in exponential form is:

87767 = 877671

Prime Factorization of 87779

Prime factors of 87779 are 61, 1439. Prime factorization of 87779 in exponential form is:

87779 = 611 × 14391

Now multiplying the highest exponent prime factors to calculate the LCM of 87767 and 87779.

LCM(87767,87779) = 877671 × 611 × 14391
LCM(87767,87779) = 7704099493