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What is the Least Common Multiple of 70230 and 70247?

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 70230 and 70247 is 4933446810.

LCM(70230,70247) = 4933446810

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Least Common Multiple of 70230 and 70247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70230 and 70247, than apply into the LCM equation.

GCF(70230,70247) = 1
LCM(70230,70247) = ( 70230 × 70247) / 1
LCM(70230,70247) = 4933446810 / 1
LCM(70230,70247) = 4933446810

Least Common Multiple (LCM) of 70230 and 70247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70230 and 70247. First we will calculate the prime factors of 70230 and 70247.

Prime Factorization of 70230

Prime factors of 70230 are 2, 3, 5, 2341. Prime factorization of 70230 in exponential form is:

70230 = 21 × 31 × 51 × 23411

Prime Factorization of 70247

Prime factors of 70247 are 199, 353. Prime factorization of 70247 in exponential form is:

70247 = 1991 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 70230 and 70247.

LCM(70230,70247) = 21 × 31 × 51 × 23411 × 1991 × 3531
LCM(70230,70247) = 4933446810