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What is the Least Common Multiple of 88779 and 88798?

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 88798 is 7883397642.

LCM(88779,88798) = 7883397642

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Least Common Multiple of 88779 and 88798 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 88798, than apply into the LCM equation.

GCF(88779,88798) = 1
LCM(88779,88798) = ( 88779 × 88798) / 1
LCM(88779,88798) = 7883397642 / 1
LCM(88779,88798) = 7883397642

Least Common Multiple (LCM) of 88779 and 88798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88779 and 88798. First we will calculate the prime factors of 88779 and 88798.

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 88798

Prime factors of 88798 are 2, 29, 1531. Prime factorization of 88798 in exponential form is:

88798 = 21 × 291 × 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 88779 and 88798.

LCM(88779,88798) = 31 × 1011 × 2931 × 21 × 291 × 15311
LCM(88779,88798) = 7883397642