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What is the Least Common Multiple of 7024 and 7030?

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 7024 and 7030 is 24689360.

LCM(7024,7030) = 24689360

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Least Common Multiple of 7024 and 7030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7024 and 7030, than apply into the LCM equation.

GCF(7024,7030) = 2
LCM(7024,7030) = ( 7024 × 7030) / 2
LCM(7024,7030) = 49378720 / 2
LCM(7024,7030) = 24689360

Least Common Multiple (LCM) of 7024 and 7030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7024 and 7030. First we will calculate the prime factors of 7024 and 7030.

Prime Factorization of 7024

Prime factors of 7024 are 2, 439. Prime factorization of 7024 in exponential form is:

7024 = 24 × 4391

Prime Factorization of 7030

Prime factors of 7030 are 2, 5, 19, 37. Prime factorization of 7030 in exponential form is:

7030 = 21 × 51 × 191 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 7024 and 7030.

LCM(7024,7030) = 24 × 4391 × 51 × 191 × 371
LCM(7024,7030) = 24689360