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What is the Least Common Multiple of 7448 and 7457?

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 7448 and 7457 is 55539736.

LCM(7448,7457) = 55539736

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Least Common Multiple of 7448 and 7457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7448 and 7457, than apply into the LCM equation.

GCF(7448,7457) = 1
LCM(7448,7457) = ( 7448 × 7457) / 1
LCM(7448,7457) = 55539736 / 1
LCM(7448,7457) = 55539736

Least Common Multiple (LCM) of 7448 and 7457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7448 and 7457. First we will calculate the prime factors of 7448 and 7457.

Prime Factorization of 7448

Prime factors of 7448 are 2, 7, 19. Prime factorization of 7448 in exponential form is:

7448 = 23 × 72 × 191

Prime Factorization of 7457

Prime factors of 7457 are 7457. Prime factorization of 7457 in exponential form is:

7457 = 74571

Now multiplying the highest exponent prime factors to calculate the LCM of 7448 and 7457.

LCM(7448,7457) = 23 × 72 × 191 × 74571
LCM(7448,7457) = 55539736