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What is the Least Common Multiple of 28435 and 28448?

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 28435 and 28448 is 808918880.

LCM(28435,28448) = 808918880

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Least Common Multiple of 28435 and 28448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28435 and 28448, than apply into the LCM equation.

GCF(28435,28448) = 1
LCM(28435,28448) = ( 28435 × 28448) / 1
LCM(28435,28448) = 808918880 / 1
LCM(28435,28448) = 808918880

Least Common Multiple (LCM) of 28435 and 28448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28435 and 28448. First we will calculate the prime factors of 28435 and 28448.

Prime Factorization of 28435

Prime factors of 28435 are 5, 11, 47. Prime factorization of 28435 in exponential form is:

28435 = 51 × 112 × 471

Prime Factorization of 28448

Prime factors of 28448 are 2, 7, 127. Prime factorization of 28448 in exponential form is:

28448 = 25 × 71 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 28435 and 28448.

LCM(28435,28448) = 51 × 112 × 471 × 25 × 71 × 1271
LCM(28435,28448) = 808918880