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What is the Least Common Multiple of 93207 and 93214?

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 93207 and 93214 is 8688197298.

LCM(93207,93214) = 8688197298

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Least Common Multiple of 93207 and 93214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93207 and 93214, than apply into the LCM equation.

GCF(93207,93214) = 1
LCM(93207,93214) = ( 93207 × 93214) / 1
LCM(93207,93214) = 8688197298 / 1
LCM(93207,93214) = 8688197298

Least Common Multiple (LCM) of 93207 and 93214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93207 and 93214. First we will calculate the prime factors of 93207 and 93214.

Prime Factorization of 93207

Prime factors of 93207 are 3, 31069. Prime factorization of 93207 in exponential form is:

93207 = 31 × 310691

Prime Factorization of 93214

Prime factors of 93214 are 2, 11, 19, 223. Prime factorization of 93214 in exponential form is:

93214 = 21 × 111 × 191 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 93207 and 93214.

LCM(93207,93214) = 31 × 310691 × 21 × 111 × 191 × 2231
LCM(93207,93214) = 8688197298