What is the Least Common Multiple of 28327 and 28336?
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 28327 and 28336 is 802673872.
LCM(28327,28336) = 802673872
Least Common Multiple of 28327 and 28336 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28327 and 28336, than apply into the LCM equation.
GCF(28327,28336) = 1
LCM(28327,28336) = ( 28327 × 28336) / 1
LCM(28327,28336) = 802673872 / 1
LCM(28327,28336) = 802673872
Least Common Multiple (LCM) of 28327 and 28336 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28327 and 28336. First we will calculate the prime factors of 28327 and 28336.
Prime Factorization of 28327
Prime factors of 28327 are 13, 2179. Prime factorization of 28327 in exponential form is:
28327 = 131 × 21791
Prime Factorization of 28336
Prime factors of 28336 are 2, 7, 11, 23. Prime factorization of 28336 in exponential form is:
28336 = 24 × 71 × 111 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 28327 and 28336.
LCM(28327,28336) = 131 × 21791 × 24 × 71 × 111 × 231
LCM(28327,28336) = 802673872
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