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What is the Least Common Multiple of 93472 and 93491?

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 93472 and 93491 is 8738790752.

LCM(93472,93491) = 8738790752

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Least Common Multiple of 93472 and 93491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93472 and 93491, than apply into the LCM equation.

GCF(93472,93491) = 1
LCM(93472,93491) = ( 93472 × 93491) / 1
LCM(93472,93491) = 8738790752 / 1
LCM(93472,93491) = 8738790752

Least Common Multiple (LCM) of 93472 and 93491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93472 and 93491. First we will calculate the prime factors of 93472 and 93491.

Prime Factorization of 93472

Prime factors of 93472 are 2, 23, 127. Prime factorization of 93472 in exponential form is:

93472 = 25 × 231 × 1271

Prime Factorization of 93491

Prime factors of 93491 are 93491. Prime factorization of 93491 in exponential form is:

93491 = 934911

Now multiplying the highest exponent prime factors to calculate the LCM of 93472 and 93491.

LCM(93472,93491) = 25 × 231 × 1271 × 934911
LCM(93472,93491) = 8738790752