What is the Least Common Multiple of 80183 and 80201?
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 80183 and 80201 is 6430756783.
LCM(80183,80201) = 6430756783
Least Common Multiple of 80183 and 80201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80183 and 80201, than apply into the LCM equation.
GCF(80183,80201) = 1
LCM(80183,80201) = ( 80183 × 80201) / 1
LCM(80183,80201) = 6430756783 / 1
LCM(80183,80201) = 6430756783
Least Common Multiple (LCM) of 80183 and 80201 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80183 and 80201. First we will calculate the prime factors of 80183 and 80201.
Prime Factorization of 80183
Prime factors of 80183 are 181, 443. Prime factorization of 80183 in exponential form is:
80183 = 1811 × 4431
Prime Factorization of 80201
Prime factors of 80201 are 11, 23, 317. Prime factorization of 80201 in exponential form is:
80201 = 111 × 231 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 80183 and 80201.
LCM(80183,80201) = 1811 × 4431 × 111 × 231 × 3171
LCM(80183,80201) = 6430756783
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