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What is the Least Common Multiple of 9443 and 9448?

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 9443 and 9448 is 89217464.

LCM(9443,9448) = 89217464

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Least Common Multiple of 9443 and 9448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9443 and 9448, than apply into the LCM equation.

GCF(9443,9448) = 1
LCM(9443,9448) = ( 9443 × 9448) / 1
LCM(9443,9448) = 89217464 / 1
LCM(9443,9448) = 89217464

Least Common Multiple (LCM) of 9443 and 9448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9443 and 9448. First we will calculate the prime factors of 9443 and 9448.

Prime Factorization of 9443

Prime factors of 9443 are 7, 19, 71. Prime factorization of 9443 in exponential form is:

9443 = 71 × 191 × 711

Prime Factorization of 9448

Prime factors of 9448 are 2, 1181. Prime factorization of 9448 in exponential form is:

9448 = 23 × 11811

Now multiplying the highest exponent prime factors to calculate the LCM of 9443 and 9448.

LCM(9443,9448) = 71 × 191 × 711 × 23 × 11811
LCM(9443,9448) = 89217464