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What is the Least Common Multiple of 88771 and 88789?

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 88789 is 7881888319.

LCM(88771,88789) = 7881888319

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Least Common Multiple of 88771 and 88789 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 88789, than apply into the LCM equation.

GCF(88771,88789) = 1
LCM(88771,88789) = ( 88771 × 88789) / 1
LCM(88771,88789) = 7881888319 / 1
LCM(88771,88789) = 7881888319

Least Common Multiple (LCM) of 88771 and 88789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88771 and 88789. First we will calculate the prime factors of 88771 and 88789.

Prime Factorization of 88771

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

88771 = 887711

Prime Factorization of 88789

Prime factors of 88789 are 88789. Prime factorization of 88789 in exponential form is:

88789 = 887891

Now multiplying the highest exponent prime factors to calculate the LCM of 88771 and 88789.

LCM(88771,88789) = 887711 × 887891
LCM(88771,88789) = 7881888319