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What is the Least Common Multiple of 93258 and 93272?

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 93258 and 93272 is 4349180088.

LCM(93258,93272) = 4349180088

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Least Common Multiple of 93258 and 93272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93258 and 93272, than apply into the LCM equation.

GCF(93258,93272) = 2
LCM(93258,93272) = ( 93258 × 93272) / 2
LCM(93258,93272) = 8698360176 / 2
LCM(93258,93272) = 4349180088

Least Common Multiple (LCM) of 93258 and 93272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93258 and 93272. First we will calculate the prime factors of 93258 and 93272.

Prime Factorization of 93258

Prime factors of 93258 are 2, 3, 11, 157. Prime factorization of 93258 in exponential form is:

93258 = 21 × 33 × 111 × 1571

Prime Factorization of 93272

Prime factors of 93272 are 2, 89, 131. Prime factorization of 93272 in exponential form is:

93272 = 23 × 891 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 93258 and 93272.

LCM(93258,93272) = 23 × 33 × 111 × 1571 × 891 × 1311
LCM(93258,93272) = 4349180088