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What is the Least Common Multiple of 18428 and 18448?

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 18428 and 18448 is 84989936.

LCM(18428,18448) = 84989936

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Least Common Multiple of 18428 and 18448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18428 and 18448, than apply into the LCM equation.

GCF(18428,18448) = 4
LCM(18428,18448) = ( 18428 × 18448) / 4
LCM(18428,18448) = 339959744 / 4
LCM(18428,18448) = 84989936

Least Common Multiple (LCM) of 18428 and 18448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18428 and 18448. First we will calculate the prime factors of 18428 and 18448.

Prime Factorization of 18428

Prime factors of 18428 are 2, 17, 271. Prime factorization of 18428 in exponential form is:

18428 = 22 × 171 × 2711

Prime Factorization of 18448

Prime factors of 18448 are 2, 1153. Prime factorization of 18448 in exponential form is:

18448 = 24 × 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 18428 and 18448.

LCM(18428,18448) = 24 × 171 × 2711 × 11531
LCM(18428,18448) = 84989936