What is the Least Common Multiple of 28322 and 28327?
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 28322 and 28327 is 802277294.
LCM(28322,28327) = 802277294
Least Common Multiple of 28322 and 28327 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28322 and 28327, than apply into the LCM equation.
GCF(28322,28327) = 1
LCM(28322,28327) = ( 28322 × 28327) / 1
LCM(28322,28327) = 802277294 / 1
LCM(28322,28327) = 802277294
Least Common Multiple (LCM) of 28322 and 28327 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28322 and 28327. First we will calculate the prime factors of 28322 and 28327.
Prime Factorization of 28322
Prime factors of 28322 are 2, 7, 17. Prime factorization of 28322 in exponential form is:
28322 = 21 × 72 × 172
Prime Factorization of 28327
Prime factors of 28327 are 13, 2179. Prime factorization of 28327 in exponential form is:
28327 = 131 × 21791
Now multiplying the highest exponent prime factors to calculate the LCM of 28322 and 28327.
LCM(28322,28327) = 21 × 72 × 172 × 131 × 21791
LCM(28322,28327) = 802277294
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