What is the Least Common Multiple of 80323 and 80327?
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 80323 and 80327 is 6452105621.
LCM(80323,80327) = 6452105621
Least Common Multiple of 80323 and 80327 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80323 and 80327, than apply into the LCM equation.
GCF(80323,80327) = 1
LCM(80323,80327) = ( 80323 × 80327) / 1
LCM(80323,80327) = 6452105621 / 1
LCM(80323,80327) = 6452105621
Least Common Multiple (LCM) of 80323 and 80327 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80323 and 80327. First we will calculate the prime factors of 80323 and 80327.
Prime Factorization of 80323
Prime factors of 80323 are 47, 1709. Prime factorization of 80323 in exponential form is:
80323 = 471 × 17091
Prime Factorization of 80327
Prime factors of 80327 are 13, 37, 167. Prime factorization of 80327 in exponential form is:
80327 = 131 × 371 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 80323 and 80327.
LCM(80323,80327) = 471 × 17091 × 131 × 371 × 1671
LCM(80323,80327) = 6452105621
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