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What is the Least Common Multiple of 30079 and 30089?

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 30079 and 30089 is 905047031.

LCM(30079,30089) = 905047031

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Least Common Multiple of 30079 and 30089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30079 and 30089, than apply into the LCM equation.

GCF(30079,30089) = 1
LCM(30079,30089) = ( 30079 × 30089) / 1
LCM(30079,30089) = 905047031 / 1
LCM(30079,30089) = 905047031

Least Common Multiple (LCM) of 30079 and 30089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30079 and 30089. First we will calculate the prime factors of 30079 and 30089.

Prime Factorization of 30079

Prime factors of 30079 are 7, 4297. Prime factorization of 30079 in exponential form is:

30079 = 71 × 42971

Prime Factorization of 30089

Prime factors of 30089 are 30089. Prime factorization of 30089 in exponential form is:

30089 = 300891

Now multiplying the highest exponent prime factors to calculate the LCM of 30079 and 30089.

LCM(30079,30089) = 71 × 42971 × 300891
LCM(30079,30089) = 905047031