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What is the Least Common Multiple of 93447 and 93467?

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 93447 and 93467 is 8734210749.

LCM(93447,93467) = 8734210749

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Least Common Multiple of 93447 and 93467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93447 and 93467, than apply into the LCM equation.

GCF(93447,93467) = 1
LCM(93447,93467) = ( 93447 × 93467) / 1
LCM(93447,93467) = 8734210749 / 1
LCM(93447,93467) = 8734210749

Least Common Multiple (LCM) of 93447 and 93467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93447 and 93467. First we will calculate the prime factors of 93447 and 93467.

Prime Factorization of 93447

Prime factors of 93447 are 3, 3461. Prime factorization of 93447 in exponential form is:

93447 = 33 × 34611

Prime Factorization of 93467

Prime factors of 93467 are 11, 29, 293. Prime factorization of 93467 in exponential form is:

93467 = 111 × 291 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 93447 and 93467.

LCM(93447,93467) = 33 × 34611 × 111 × 291 × 2931
LCM(93447,93467) = 8734210749