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What is the Least Common Multiple of 7079 and 7099?

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 7079 and 7099 is 50253821.

LCM(7079,7099) = 50253821

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Least Common Multiple of 7079 and 7099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7079 and 7099, than apply into the LCM equation.

GCF(7079,7099) = 1
LCM(7079,7099) = ( 7079 × 7099) / 1
LCM(7079,7099) = 50253821 / 1
LCM(7079,7099) = 50253821

Least Common Multiple (LCM) of 7079 and 7099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7079 and 7099. First we will calculate the prime factors of 7079 and 7099.

Prime Factorization of 7079

Prime factors of 7079 are 7079. Prime factorization of 7079 in exponential form is:

7079 = 70791

Prime Factorization of 7099

Prime factors of 7099 are 31, 229. Prime factorization of 7099 in exponential form is:

7099 = 311 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 7079 and 7099.

LCM(7079,7099) = 70791 × 311 × 2291
LCM(7079,7099) = 50253821