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What is the Least Common Multiple of 48481 and 48497?

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 48481 and 48497 is 2351183057.

LCM(48481,48497) = 2351183057

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Least Common Multiple of 48481 and 48497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48481 and 48497, than apply into the LCM equation.

GCF(48481,48497) = 1
LCM(48481,48497) = ( 48481 × 48497) / 1
LCM(48481,48497) = 2351183057 / 1
LCM(48481,48497) = 2351183057

Least Common Multiple (LCM) of 48481 and 48497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48481 and 48497. First we will calculate the prime factors of 48481 and 48497.

Prime Factorization of 48481

Prime factors of 48481 are 48481. Prime factorization of 48481 in exponential form is:

48481 = 484811

Prime Factorization of 48497

Prime factors of 48497 are 48497. Prime factorization of 48497 in exponential form is:

48497 = 484971

Now multiplying the highest exponent prime factors to calculate the LCM of 48481 and 48497.

LCM(48481,48497) = 484811 × 484971
LCM(48481,48497) = 2351183057