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What is the Least Common Multiple of 48886 and 48901?

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 48886 and 48901 is 2390574286.

LCM(48886,48901) = 2390574286

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Least Common Multiple of 48886 and 48901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48886 and 48901, than apply into the LCM equation.

GCF(48886,48901) = 1
LCM(48886,48901) = ( 48886 × 48901) / 1
LCM(48886,48901) = 2390574286 / 1
LCM(48886,48901) = 2390574286

Least Common Multiple (LCM) of 48886 and 48901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48886 and 48901. First we will calculate the prime factors of 48886 and 48901.

Prime Factorization of 48886

Prime factors of 48886 are 2, 24443. Prime factorization of 48886 in exponential form is:

48886 = 21 × 244431

Prime Factorization of 48901

Prime factors of 48901 are 79, 619. Prime factorization of 48901 in exponential form is:

48901 = 791 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 48886 and 48901.

LCM(48886,48901) = 21 × 244431 × 791 × 6191
LCM(48886,48901) = 2390574286