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What is the Least Common Multiple of 7040 and 7058?

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 7040 and 7058 is 24844160.

LCM(7040,7058) = 24844160

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Least Common Multiple of 7040 and 7058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7040 and 7058, than apply into the LCM equation.

GCF(7040,7058) = 2
LCM(7040,7058) = ( 7040 × 7058) / 2
LCM(7040,7058) = 49688320 / 2
LCM(7040,7058) = 24844160

Least Common Multiple (LCM) of 7040 and 7058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7040 and 7058. First we will calculate the prime factors of 7040 and 7058.

Prime Factorization of 7040

Prime factors of 7040 are 2, 5, 11. Prime factorization of 7040 in exponential form is:

7040 = 27 × 51 × 111

Prime Factorization of 7058

Prime factors of 7058 are 2, 3529. Prime factorization of 7058 in exponential form is:

7058 = 21 × 35291

Now multiplying the highest exponent prime factors to calculate the LCM of 7040 and 7058.

LCM(7040,7058) = 27 × 51 × 111 × 35291
LCM(7040,7058) = 24844160