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What is the Least Common Multiple of 93462 and 93478?

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 93462 and 93478 is 4368320418.

LCM(93462,93478) = 4368320418

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Least Common Multiple of 93462 and 93478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93462 and 93478, than apply into the LCM equation.

GCF(93462,93478) = 2
LCM(93462,93478) = ( 93462 × 93478) / 2
LCM(93462,93478) = 8736640836 / 2
LCM(93462,93478) = 4368320418

Least Common Multiple (LCM) of 93462 and 93478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93462 and 93478. First we will calculate the prime factors of 93462 and 93478.

Prime Factorization of 93462

Prime factors of 93462 are 2, 3, 37, 421. Prime factorization of 93462 in exponential form is:

93462 = 21 × 31 × 371 × 4211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 93462 and 93478.

LCM(93462,93478) = 21 × 31 × 371 × 4211 × 71 × 111 × 6071
LCM(93462,93478) = 4368320418