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What is the Least Common Multiple of 93199 and 93209?

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 93199 and 93209 is 8686985591.

LCM(93199,93209) = 8686985591

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Least Common Multiple of 93199 and 93209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93199 and 93209, than apply into the LCM equation.

GCF(93199,93209) = 1
LCM(93199,93209) = ( 93199 × 93209) / 1
LCM(93199,93209) = 8686985591 / 1
LCM(93199,93209) = 8686985591

Least Common Multiple (LCM) of 93199 and 93209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93199 and 93209. First we will calculate the prime factors of 93199 and 93209.

Prime Factorization of 93199

Prime factors of 93199 are 93199. Prime factorization of 93199 in exponential form is:

93199 = 931991

Prime Factorization of 93209

Prime factors of 93209 are 83, 1123. Prime factorization of 93209 in exponential form is:

93209 = 831 × 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 93199 and 93209.

LCM(93199,93209) = 931991 × 831 × 11231
LCM(93199,93209) = 8686985591