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What is the Least Common Multiple of 88771 and 88775?

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 88771 and 88775 is 7880645525.

LCM(88771,88775) = 7880645525

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Least Common Multiple of 88771 and 88775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88771 and 88775, than apply into the LCM equation.

GCF(88771,88775) = 1
LCM(88771,88775) = ( 88771 × 88775) / 1
LCM(88771,88775) = 7880645525 / 1
LCM(88771,88775) = 7880645525

Least Common Multiple (LCM) of 88771 and 88775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88771 and 88775. First we will calculate the prime factors of 88771 and 88775.

Prime Factorization of 88771

Prime factors of 88771 are 88771. Prime factorization of 88771 in exponential form is:

88771 = 887711

Prime Factorization of 88775

Prime factors of 88775 are 5, 53, 67. Prime factorization of 88775 in exponential form is:

88775 = 52 × 531 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 88771 and 88775.

LCM(88771,88775) = 887711 × 52 × 531 × 671
LCM(88771,88775) = 7880645525