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What is the Least Common Multiple of 93578 and 93590?

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 93578 and 93590 is 4378982510.

LCM(93578,93590) = 4378982510

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Least Common Multiple of 93578 and 93590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93578 and 93590, than apply into the LCM equation.

GCF(93578,93590) = 2
LCM(93578,93590) = ( 93578 × 93590) / 2
LCM(93578,93590) = 8757965020 / 2
LCM(93578,93590) = 4378982510

Least Common Multiple (LCM) of 93578 and 93590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93578 and 93590. First we will calculate the prime factors of 93578 and 93590.

Prime Factorization of 93578

Prime factors of 93578 are 2, 71, 659. Prime factorization of 93578 in exponential form is:

93578 = 21 × 711 × 6591

Prime Factorization of 93590

Prime factors of 93590 are 2, 5, 7, 191. Prime factorization of 93590 in exponential form is:

93590 = 21 × 51 × 72 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 93578 and 93590.

LCM(93578,93590) = 21 × 711 × 6591 × 51 × 72 × 1911
LCM(93578,93590) = 4378982510