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What is the Least Common Multiple of 28232 and 28252?

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 28232 and 28252 is 199402616.

LCM(28232,28252) = 199402616

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Least Common Multiple of 28232 and 28252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28232 and 28252, than apply into the LCM equation.

GCF(28232,28252) = 4
LCM(28232,28252) = ( 28232 × 28252) / 4
LCM(28232,28252) = 797610464 / 4
LCM(28232,28252) = 199402616

Least Common Multiple (LCM) of 28232 and 28252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28232 and 28252. First we will calculate the prime factors of 28232 and 28252.

Prime Factorization of 28232

Prime factors of 28232 are 2, 3529. Prime factorization of 28232 in exponential form is:

28232 = 23 × 35291

Prime Factorization of 28252

Prime factors of 28252 are 2, 7, 1009. Prime factorization of 28252 in exponential form is:

28252 = 22 × 71 × 10091

Now multiplying the highest exponent prime factors to calculate the LCM of 28232 and 28252.

LCM(28232,28252) = 23 × 35291 × 71 × 10091
LCM(28232,28252) = 199402616