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What is the Least Common Multiple of 93699 and 93710?

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 93699 and 93710 is 8780533290.

LCM(93699,93710) = 8780533290

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Least Common Multiple of 93699 and 93710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93699 and 93710, than apply into the LCM equation.

GCF(93699,93710) = 1
LCM(93699,93710) = ( 93699 × 93710) / 1
LCM(93699,93710) = 8780533290 / 1
LCM(93699,93710) = 8780533290

Least Common Multiple (LCM) of 93699 and 93710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93699 and 93710. First we will calculate the prime factors of 93699 and 93710.

Prime Factorization of 93699

Prime factors of 93699 are 3, 29, 359. Prime factorization of 93699 in exponential form is:

93699 = 32 × 291 × 3591

Prime Factorization of 93710

Prime factors of 93710 are 2, 5, 9371. Prime factorization of 93710 in exponential form is:

93710 = 21 × 51 × 93711

Now multiplying the highest exponent prime factors to calculate the LCM of 93699 and 93710.

LCM(93699,93710) = 32 × 291 × 3591 × 21 × 51 × 93711
LCM(93699,93710) = 8780533290