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What is the Least Common Multiple of 7444 and 7448?

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 7444 and 7448 is 13860728.

LCM(7444,7448) = 13860728

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Least Common Multiple of 7444 and 7448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7444 and 7448, than apply into the LCM equation.

GCF(7444,7448) = 4
LCM(7444,7448) = ( 7444 × 7448) / 4
LCM(7444,7448) = 55442912 / 4
LCM(7444,7448) = 13860728

Least Common Multiple (LCM) of 7444 and 7448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7444 and 7448. First we will calculate the prime factors of 7444 and 7448.

Prime Factorization of 7444

Prime factors of 7444 are 2, 1861. Prime factorization of 7444 in exponential form is:

7444 = 22 × 18611

Prime Factorization of 7448

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

7448 = 23 × 72 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 7444 and 7448.

LCM(7444,7448) = 23 × 18611 × 72 × 191
LCM(7444,7448) = 13860728