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What is the Least Common Multiple of 93481 and 93486?

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 93481 and 93486 is 8739164766.

LCM(93481,93486) = 8739164766

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Least Common Multiple of 93481 and 93486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93481 and 93486, than apply into the LCM equation.

GCF(93481,93486) = 1
LCM(93481,93486) = ( 93481 × 93486) / 1
LCM(93481,93486) = 8739164766 / 1
LCM(93481,93486) = 8739164766

Least Common Multiple (LCM) of 93481 and 93486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93481 and 93486. First we will calculate the prime factors of 93481 and 93486.

Prime Factorization of 93481

Prime factors of 93481 are 93481. Prime factorization of 93481 in exponential form is:

93481 = 934811

Prime Factorization of 93486

Prime factors of 93486 are 2, 3, 15581. Prime factorization of 93486 in exponential form is:

93486 = 21 × 31 × 155811

Now multiplying the highest exponent prime factors to calculate the LCM of 93481 and 93486.

LCM(93481,93486) = 934811 × 21 × 31 × 155811
LCM(93481,93486) = 8739164766