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What is the Least Common Multiple of 7058 and 7065?

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 7058 and 7065 is 49864770.

LCM(7058,7065) = 49864770

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Least Common Multiple of 7058 and 7065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7058 and 7065, than apply into the LCM equation.

GCF(7058,7065) = 1
LCM(7058,7065) = ( 7058 × 7065) / 1
LCM(7058,7065) = 49864770 / 1
LCM(7058,7065) = 49864770

Least Common Multiple (LCM) of 7058 and 7065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7058 and 7065. First we will calculate the prime factors of 7058 and 7065.

Prime Factorization of 7058

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

7058 = 21 × 35291

Prime Factorization of 7065

Prime factors of 7065 are 3, 5, 157. Prime factorization of 7065 in exponential form is:

7065 = 32 × 51 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 7058 and 7065.

LCM(7058,7065) = 21 × 35291 × 32 × 51 × 1571
LCM(7058,7065) = 49864770