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What is the Least Common Multiple of 93599 and 93609?

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 93599 and 93609 is 8761708791.

LCM(93599,93609) = 8761708791

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Least Common Multiple of 93599 and 93609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93599 and 93609, than apply into the LCM equation.

GCF(93599,93609) = 1
LCM(93599,93609) = ( 93599 × 93609) / 1
LCM(93599,93609) = 8761708791 / 1
LCM(93599,93609) = 8761708791

Least Common Multiple (LCM) of 93599 and 93609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93599 and 93609. First we will calculate the prime factors of 93599 and 93609.

Prime Factorization of 93599

Prime factors of 93599 are 11, 67, 127. Prime factorization of 93599 in exponential form is:

93599 = 111 × 671 × 1271

Prime Factorization of 93609

Prime factors of 93609 are 3, 3467. Prime factorization of 93609 in exponential form is:

93609 = 33 × 34671

Now multiplying the highest exponent prime factors to calculate the LCM of 93599 and 93609.

LCM(93599,93609) = 111 × 671 × 1271 × 33 × 34671
LCM(93599,93609) = 8761708791