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What is the Least Common Multiple of 93480 and 93488?

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 93480 and 93488 is 1092407280.

LCM(93480,93488) = 1092407280

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Least Common Multiple of 93480 and 93488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93480 and 93488, than apply into the LCM equation.

GCF(93480,93488) = 8
LCM(93480,93488) = ( 93480 × 93488) / 8
LCM(93480,93488) = 8739258240 / 8
LCM(93480,93488) = 1092407280

Least Common Multiple (LCM) of 93480 and 93488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93480 and 93488. First we will calculate the prime factors of 93480 and 93488.

Prime Factorization of 93480

Prime factors of 93480 are 2, 3, 5, 19, 41. Prime factorization of 93480 in exponential form is:

93480 = 23 × 31 × 51 × 191 × 411

Prime Factorization of 93488

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

93488 = 24 × 58431

Now multiplying the highest exponent prime factors to calculate the LCM of 93480 and 93488.

LCM(93480,93488) = 24 × 31 × 51 × 191 × 411 × 58431
LCM(93480,93488) = 1092407280