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What is the Least Common Multiple of 28444 and 28452?

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 28444 and 28452 is 202322172.

LCM(28444,28452) = 202322172

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Least Common Multiple of 28444 and 28452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28444 and 28452, than apply into the LCM equation.

GCF(28444,28452) = 4
LCM(28444,28452) = ( 28444 × 28452) / 4
LCM(28444,28452) = 809288688 / 4
LCM(28444,28452) = 202322172

Least Common Multiple (LCM) of 28444 and 28452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28444 and 28452. First we will calculate the prime factors of 28444 and 28452.

Prime Factorization of 28444

Prime factors of 28444 are 2, 13, 547. Prime factorization of 28444 in exponential form is:

28444 = 22 × 131 × 5471

Prime Factorization of 28452

Prime factors of 28452 are 2, 3, 2371. Prime factorization of 28452 in exponential form is:

28452 = 22 × 31 × 23711

Now multiplying the highest exponent prime factors to calculate the LCM of 28444 and 28452.

LCM(28444,28452) = 22 × 131 × 5471 × 31 × 23711
LCM(28444,28452) = 202322172