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What is the Least Common Multiple of 93478 and 93491?

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 93478 and 93491 is 8739351698.

LCM(93478,93491) = 8739351698

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Least Common Multiple of 93478 and 93491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93478 and 93491, than apply into the LCM equation.

GCF(93478,93491) = 1
LCM(93478,93491) = ( 93478 × 93491) / 1
LCM(93478,93491) = 8739351698 / 1
LCM(93478,93491) = 8739351698

Least Common Multiple (LCM) of 93478 and 93491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93478 and 93491. First we will calculate the prime factors of 93478 and 93491.

Prime Factorization of 93478

Prime factors of 93478 are 2, 7, 11, 607. Prime factorization of 93478 in exponential form is:

93478 = 21 × 71 × 111 × 6071

Prime Factorization of 93491

Prime factors of 93491 are 93491. Prime factorization of 93491 in exponential form is:

93491 = 934911

Now multiplying the highest exponent prime factors to calculate the LCM of 93478 and 93491.

LCM(93478,93491) = 21 × 71 × 111 × 6071 × 934911
LCM(93478,93491) = 8739351698