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What is the Least Common Multiple of 88313 and 88330?

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 88313 and 88330 is 7800687290.

LCM(88313,88330) = 7800687290

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Least Common Multiple of 88313 and 88330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88313 and 88330, than apply into the LCM equation.

GCF(88313,88330) = 1
LCM(88313,88330) = ( 88313 × 88330) / 1
LCM(88313,88330) = 7800687290 / 1
LCM(88313,88330) = 7800687290

Least Common Multiple (LCM) of 88313 and 88330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88313 and 88330. First we will calculate the prime factors of 88313 and 88330.

Prime Factorization of 88313

Prime factors of 88313 are 47, 1879. Prime factorization of 88313 in exponential form is:

88313 = 471 × 18791

Prime Factorization of 88330

Prime factors of 88330 are 2, 5, 11, 73. Prime factorization of 88330 in exponential form is:

88330 = 21 × 51 × 112 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 88313 and 88330.

LCM(88313,88330) = 471 × 18791 × 21 × 51 × 112 × 731
LCM(88313,88330) = 7800687290