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What is the Least Common Multiple of 80058 and 80065?

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 80058 and 80065 is 6409843770.

LCM(80058,80065) = 6409843770

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Least Common Multiple of 80058 and 80065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80058 and 80065, than apply into the LCM equation.

GCF(80058,80065) = 1
LCM(80058,80065) = ( 80058 × 80065) / 1
LCM(80058,80065) = 6409843770 / 1
LCM(80058,80065) = 6409843770

Least Common Multiple (LCM) of 80058 and 80065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80058 and 80065. First we will calculate the prime factors of 80058 and 80065.

Prime Factorization of 80058

Prime factors of 80058 are 2, 3, 11, 1213. Prime factorization of 80058 in exponential form is:

80058 = 21 × 31 × 111 × 12131

Prime Factorization of 80065

Prime factors of 80065 are 5, 67, 239. Prime factorization of 80065 in exponential form is:

80065 = 51 × 671 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 80058 and 80065.

LCM(80058,80065) = 21 × 31 × 111 × 12131 × 51 × 671 × 2391
LCM(80058,80065) = 6409843770