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What is the Least Common Multiple of 93412 and 93425?

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 93412 and 93425 is 8727016100.

LCM(93412,93425) = 8727016100

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Least Common Multiple of 93412 and 93425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93412 and 93425, than apply into the LCM equation.

GCF(93412,93425) = 1
LCM(93412,93425) = ( 93412 × 93425) / 1
LCM(93412,93425) = 8727016100 / 1
LCM(93412,93425) = 8727016100

Least Common Multiple (LCM) of 93412 and 93425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93412 and 93425. First we will calculate the prime factors of 93412 and 93425.

Prime Factorization of 93412

Prime factors of 93412 are 2, 11, 193. Prime factorization of 93412 in exponential form is:

93412 = 22 × 112 × 1931

Prime Factorization of 93425

Prime factors of 93425 are 5, 37, 101. Prime factorization of 93425 in exponential form is:

93425 = 52 × 371 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 93412 and 93425.

LCM(93412,93425) = 22 × 112 × 1931 × 52 × 371 × 1011
LCM(93412,93425) = 8727016100