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What is the Least Common Multiple of 93206 and 93210?

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 93206 and 93210 is 4343865630.

LCM(93206,93210) = 4343865630

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Least Common Multiple of 93206 and 93210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93206 and 93210, than apply into the LCM equation.

GCF(93206,93210) = 2
LCM(93206,93210) = ( 93206 × 93210) / 2
LCM(93206,93210) = 8687731260 / 2
LCM(93206,93210) = 4343865630

Least Common Multiple (LCM) of 93206 and 93210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93206 and 93210. First we will calculate the prime factors of 93206 and 93210.

Prime Factorization of 93206

Prime factors of 93206 are 2, 29, 1607. Prime factorization of 93206 in exponential form is:

93206 = 21 × 291 × 16071

Prime Factorization of 93210

Prime factors of 93210 are 2, 3, 5, 13, 239. Prime factorization of 93210 in exponential form is:

93210 = 21 × 31 × 51 × 131 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 93206 and 93210.

LCM(93206,93210) = 21 × 291 × 16071 × 31 × 51 × 131 × 2391
LCM(93206,93210) = 4343865630