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What is the Least Common Multiple of 93548 and 93568?

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 93548 and 93568 is 2188274816.

LCM(93548,93568) = 2188274816

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Least Common Multiple of 93548 and 93568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93548 and 93568, than apply into the LCM equation.

GCF(93548,93568) = 4
LCM(93548,93568) = ( 93548 × 93568) / 4
LCM(93548,93568) = 8753099264 / 4
LCM(93548,93568) = 2188274816

Least Common Multiple (LCM) of 93548 and 93568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93548 and 93568. First we will calculate the prime factors of 93548 and 93568.

Prime Factorization of 93548

Prime factors of 93548 are 2, 7, 13, 257. Prime factorization of 93548 in exponential form is:

93548 = 22 × 71 × 131 × 2571

Prime Factorization of 93568

Prime factors of 93568 are 2, 17, 43. Prime factorization of 93568 in exponential form is:

93568 = 27 × 171 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 93548 and 93568.

LCM(93548,93568) = 27 × 71 × 131 × 2571 × 171 × 431
LCM(93548,93568) = 2188274816