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What is the Least Common Multiple of 7481 and 7487?

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 7481 and 7487 is 56010247.

LCM(7481,7487) = 56010247

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Least Common Multiple of 7481 and 7487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7481 and 7487, than apply into the LCM equation.

GCF(7481,7487) = 1
LCM(7481,7487) = ( 7481 × 7487) / 1
LCM(7481,7487) = 56010247 / 1
LCM(7481,7487) = 56010247

Least Common Multiple (LCM) of 7481 and 7487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7481 and 7487. First we will calculate the prime factors of 7481 and 7487.

Prime Factorization of 7481

Prime factors of 7481 are 7481. Prime factorization of 7481 in exponential form is:

7481 = 74811

Prime Factorization of 7487

Prime factors of 7487 are 7487. Prime factorization of 7487 in exponential form is:

7487 = 74871

Now multiplying the highest exponent prime factors to calculate the LCM of 7481 and 7487.

LCM(7481,7487) = 74811 × 74871
LCM(7481,7487) = 56010247