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What is the Least Common Multiple of 48481 and 48487?

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 48487 is 2350698247.

LCM(48481,48487) = 2350698247

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Least Common Multiple of 48481 and 48487 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 48487, than apply into the LCM equation.

GCF(48481,48487) = 1
LCM(48481,48487) = ( 48481 × 48487) / 1
LCM(48481,48487) = 2350698247 / 1
LCM(48481,48487) = 2350698247

Least Common Multiple (LCM) of 48481 and 48487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48481 and 48487. First we will calculate the prime factors of 48481 and 48487.

Prime Factorization of 48481

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

48481 = 484811

Prime Factorization of 48487

Prime factors of 48487 are 48487. Prime factorization of 48487 in exponential form is:

48487 = 484871

Now multiplying the highest exponent prime factors to calculate the LCM of 48481 and 48487.

LCM(48481,48487) = 484811 × 484871
LCM(48481,48487) = 2350698247