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What is the Least Common Multiple of 28325 and 28329?

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 28325 and 28329 is 802418925.

LCM(28325,28329) = 802418925

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Least Common Multiple of 28325 and 28329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28325 and 28329, than apply into the LCM equation.

GCF(28325,28329) = 1
LCM(28325,28329) = ( 28325 × 28329) / 1
LCM(28325,28329) = 802418925 / 1
LCM(28325,28329) = 802418925

Least Common Multiple (LCM) of 28325 and 28329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28325 and 28329. First we will calculate the prime factors of 28325 and 28329.

Prime Factorization of 28325

Prime factors of 28325 are 5, 11, 103. Prime factorization of 28325 in exponential form is:

28325 = 52 × 111 × 1031

Prime Factorization of 28329

Prime factors of 28329 are 3, 7, 19, 71. Prime factorization of 28329 in exponential form is:

28329 = 31 × 71 × 191 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 28325 and 28329.

LCM(28325,28329) = 52 × 111 × 1031 × 31 × 71 × 191 × 711
LCM(28325,28329) = 802418925