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What is the Least Common Multiple of 7030 and 7036?

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 7030 and 7036 is 24731540.

LCM(7030,7036) = 24731540

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Least Common Multiple of 7030 and 7036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7030 and 7036, than apply into the LCM equation.

GCF(7030,7036) = 2
LCM(7030,7036) = ( 7030 × 7036) / 2
LCM(7030,7036) = 49463080 / 2
LCM(7030,7036) = 24731540

Least Common Multiple (LCM) of 7030 and 7036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7030 and 7036. First we will calculate the prime factors of 7030 and 7036.

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

Prime Factorization of 7036

Prime factors of 7036 are 2, 1759. Prime factorization of 7036 in exponential form is:

7036 = 22 × 17591

Now multiplying the highest exponent prime factors to calculate the LCM of 7030 and 7036.

LCM(7030,7036) = 22 × 51 × 191 × 371 × 17591
LCM(7030,7036) = 24731540