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What is the Least Common Multiple of 93488 and 93507?

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 93488 and 93507 is 8741782416.

LCM(93488,93507) = 8741782416

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Least Common Multiple of 93488 and 93507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93488 and 93507, than apply into the LCM equation.

GCF(93488,93507) = 1
LCM(93488,93507) = ( 93488 × 93507) / 1
LCM(93488,93507) = 8741782416 / 1
LCM(93488,93507) = 8741782416

Least Common Multiple (LCM) of 93488 and 93507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93488 and 93507. First we will calculate the prime factors of 93488 and 93507.

Prime Factorization of 93488

Prime factors of 93488 are 2, 5843. Prime factorization of 93488 in exponential form is:

93488 = 24 × 58431

Prime Factorization of 93507

Prime factors of 93507 are 3, 71, 439. Prime factorization of 93507 in exponential form is:

93507 = 31 × 711 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 93488 and 93507.

LCM(93488,93507) = 24 × 58431 × 31 × 711 × 4391
LCM(93488,93507) = 8741782416