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What is the Least Common Multiple of 7012 and 7020?

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 7012 and 7020 is 12306060.

LCM(7012,7020) = 12306060

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Least Common Multiple of 7012 and 7020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7012 and 7020, than apply into the LCM equation.

GCF(7012,7020) = 4
LCM(7012,7020) = ( 7012 × 7020) / 4
LCM(7012,7020) = 49224240 / 4
LCM(7012,7020) = 12306060

Least Common Multiple (LCM) of 7012 and 7020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7012 and 7020. First we will calculate the prime factors of 7012 and 7020.

Prime Factorization of 7012

Prime factors of 7012 are 2, 1753. Prime factorization of 7012 in exponential form is:

7012 = 22 × 17531

Prime Factorization of 7020

Prime factors of 7020 are 2, 3, 5, 13. Prime factorization of 7020 in exponential form is:

7020 = 22 × 33 × 51 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 7012 and 7020.

LCM(7012,7020) = 22 × 17531 × 33 × 51 × 131
LCM(7012,7020) = 12306060