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What is the Least Common Multiple of 93195 and 93203?

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 93195 and 93203 is 8686053585.

LCM(93195,93203) = 8686053585

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Least Common Multiple of 93195 and 93203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93195 and 93203, than apply into the LCM equation.

GCF(93195,93203) = 1
LCM(93195,93203) = ( 93195 × 93203) / 1
LCM(93195,93203) = 8686053585 / 1
LCM(93195,93203) = 8686053585

Least Common Multiple (LCM) of 93195 and 93203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93195 and 93203. First we will calculate the prime factors of 93195 and 93203.

Prime Factorization of 93195

Prime factors of 93195 are 3, 5, 19, 109. Prime factorization of 93195 in exponential form is:

93195 = 32 × 51 × 191 × 1091

Prime Factorization of 93203

Prime factors of 93203 are 11, 37, 229. Prime factorization of 93203 in exponential form is:

93203 = 111 × 371 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 93195 and 93203.

LCM(93195,93203) = 32 × 51 × 191 × 1091 × 111 × 371 × 2291
LCM(93195,93203) = 8686053585