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What is the Least Common Multiple of 93205 and 93224?

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 93205 and 93224 is 8688942920.

LCM(93205,93224) = 8688942920

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Least Common Multiple of 93205 and 93224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93205 and 93224, than apply into the LCM equation.

GCF(93205,93224) = 1
LCM(93205,93224) = ( 93205 × 93224) / 1
LCM(93205,93224) = 8688942920 / 1
LCM(93205,93224) = 8688942920

Least Common Multiple (LCM) of 93205 and 93224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93205 and 93224. First we will calculate the prime factors of 93205 and 93224.

Prime Factorization of 93205

Prime factors of 93205 are 5, 7, 2663. Prime factorization of 93205 in exponential form is:

93205 = 51 × 71 × 26631

Prime Factorization of 93224

Prime factors of 93224 are 2, 43, 271. Prime factorization of 93224 in exponential form is:

93224 = 23 × 431 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 93205 and 93224.

LCM(93205,93224) = 51 × 71 × 26631 × 23 × 431 × 2711
LCM(93205,93224) = 8688942920