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What is the Least Common Multiple of 93230 and 93235?

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 93230 and 93235 is 1738459810.

LCM(93230,93235) = 1738459810

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Least Common Multiple of 93230 and 93235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93230 and 93235, than apply into the LCM equation.

GCF(93230,93235) = 5
LCM(93230,93235) = ( 93230 × 93235) / 5
LCM(93230,93235) = 8692299050 / 5
LCM(93230,93235) = 1738459810

Least Common Multiple (LCM) of 93230 and 93235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93230 and 93235. First we will calculate the prime factors of 93230 and 93235.

Prime Factorization of 93230

Prime factors of 93230 are 2, 5, 9323. Prime factorization of 93230 in exponential form is:

93230 = 21 × 51 × 93231

Prime Factorization of 93235

Prime factors of 93235 are 5, 29, 643. Prime factorization of 93235 in exponential form is:

93235 = 51 × 291 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 93230 and 93235.

LCM(93230,93235) = 21 × 51 × 93231 × 291 × 6431
LCM(93230,93235) = 1738459810