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What is the Least Common Multiple of 48886 and 48890?

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 48890 is 1195018270.

LCM(48886,48890) = 1195018270

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Least Common Multiple of 48886 and 48890 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 48890, than apply into the LCM equation.

GCF(48886,48890) = 2
LCM(48886,48890) = ( 48886 × 48890) / 2
LCM(48886,48890) = 2390036540 / 2
LCM(48886,48890) = 1195018270

Least Common Multiple (LCM) of 48886 and 48890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48886 and 48890. First we will calculate the prime factors of 48886 and 48890.

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 48890

Prime factors of 48890 are 2, 5, 4889. Prime factorization of 48890 in exponential form is:

48890 = 21 × 51 × 48891

Now multiplying the highest exponent prime factors to calculate the LCM of 48886 and 48890.

LCM(48886,48890) = 21 × 244431 × 51 × 48891
LCM(48886,48890) = 1195018270