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What is the Least Common Multiple of 3070 and 3089?

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 3070 and 3089 is 9483230.

LCM(3070,3089) = 9483230

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Least Common Multiple of 3070 and 3089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3070 and 3089, than apply into the LCM equation.

GCF(3070,3089) = 1
LCM(3070,3089) = ( 3070 × 3089) / 1
LCM(3070,3089) = 9483230 / 1
LCM(3070,3089) = 9483230

Least Common Multiple (LCM) of 3070 and 3089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3070 and 3089. First we will calculate the prime factors of 3070 and 3089.

Prime Factorization of 3070

Prime factors of 3070 are 2, 5, 307. Prime factorization of 3070 in exponential form is:

3070 = 21 × 51 × 3071

Prime Factorization of 3089

Prime factors of 3089 are 3089. Prime factorization of 3089 in exponential form is:

3089 = 30891

Now multiplying the highest exponent prime factors to calculate the LCM of 3070 and 3089.

LCM(3070,3089) = 21 × 51 × 3071 × 30891
LCM(3070,3089) = 9483230