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What is the Least Common Multiple of 7030 and 7038?

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 7038 is 24738570.

LCM(7030,7038) = 24738570

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Least Common Multiple of 7030 and 7038 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 7038, than apply into the LCM equation.

GCF(7030,7038) = 2
LCM(7030,7038) = ( 7030 × 7038) / 2
LCM(7030,7038) = 49477140 / 2
LCM(7030,7038) = 24738570

Least Common Multiple (LCM) of 7030 and 7038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7030 and 7038. First we will calculate the prime factors of 7030 and 7038.

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 7038

Prime factors of 7038 are 2, 3, 17, 23. Prime factorization of 7038 in exponential form is:

7038 = 21 × 32 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 7030 and 7038.

LCM(7030,7038) = 21 × 51 × 191 × 371 × 32 × 171 × 231
LCM(7030,7038) = 24738570