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What is the Least Common Multiple of 5434 and 5448?

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 5434 and 5448 is 14802216.

LCM(5434,5448) = 14802216

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Least Common Multiple of 5434 and 5448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5434 and 5448, than apply into the LCM equation.

GCF(5434,5448) = 2
LCM(5434,5448) = ( 5434 × 5448) / 2
LCM(5434,5448) = 29604432 / 2
LCM(5434,5448) = 14802216

Least Common Multiple (LCM) of 5434 and 5448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5434 and 5448. First we will calculate the prime factors of 5434 and 5448.

Prime Factorization of 5434

Prime factors of 5434 are 2, 11, 13, 19. Prime factorization of 5434 in exponential form is:

5434 = 21 × 111 × 131 × 191

Prime Factorization of 5448

Prime factors of 5448 are 2, 3, 227. Prime factorization of 5448 in exponential form is:

5448 = 23 × 31 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 5434 and 5448.

LCM(5434,5448) = 23 × 111 × 131 × 191 × 31 × 2271
LCM(5434,5448) = 14802216