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What is the Least Common Multiple of 88779 and 88799?

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 88779 and 88799 is 7883486421.

LCM(88779,88799) = 7883486421

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Least Common Multiple of 88779 and 88799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88779 and 88799, than apply into the LCM equation.

GCF(88779,88799) = 1
LCM(88779,88799) = ( 88779 × 88799) / 1
LCM(88779,88799) = 7883486421 / 1
LCM(88779,88799) = 7883486421

Least Common Multiple (LCM) of 88779 and 88799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88779 and 88799. First we will calculate the prime factors of 88779 and 88799.

Prime Factorization of 88779

Prime factors of 88779 are 3, 101, 293. Prime factorization of 88779 in exponential form is:

88779 = 31 × 1011 × 2931

Prime Factorization of 88799

Prime factors of 88799 are 88799. Prime factorization of 88799 in exponential form is:

88799 = 887991

Now multiplying the highest exponent prime factors to calculate the LCM of 88779 and 88799.

LCM(88779,88799) = 31 × 1011 × 2931 × 887991
LCM(88779,88799) = 7883486421