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What is the Least Common Multiple of 48058 and 48065?

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 48058 and 48065 is 2309907770.

LCM(48058,48065) = 2309907770

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Least Common Multiple of 48058 and 48065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48058 and 48065, than apply into the LCM equation.

GCF(48058,48065) = 1
LCM(48058,48065) = ( 48058 × 48065) / 1
LCM(48058,48065) = 2309907770 / 1
LCM(48058,48065) = 2309907770

Least Common Multiple (LCM) of 48058 and 48065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48058 and 48065. First we will calculate the prime factors of 48058 and 48065.

Prime Factorization of 48058

Prime factors of 48058 are 2, 24029. Prime factorization of 48058 in exponential form is:

48058 = 21 × 240291

Prime Factorization of 48065

Prime factors of 48065 are 5, 9613. Prime factorization of 48065 in exponential form is:

48065 = 51 × 96131

Now multiplying the highest exponent prime factors to calculate the LCM of 48058 and 48065.

LCM(48058,48065) = 21 × 240291 × 51 × 96131
LCM(48058,48065) = 2309907770