What is the Least Common Multiple of 80186 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 80186 and 80201 is 6430997386.
LCM(80186,80201) = 6430997386
Least Common Multiple of 80186 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 80186 and 80201, than apply into the LCM equation.
GCF(80186,80201) = 1
LCM(80186,80201) = ( 80186 × 80201) / 1
LCM(80186,80201) = 6430997386 / 1
LCM(80186,80201) = 6430997386
Least Common Multiple (LCM) of 80186 and 80201 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80186 and 80201. First we will calculate the prime factors of 80186 and 80201.
Prime Factorization of 80186
Prime factors of 80186 are 2, 40093. Prime factorization of 80186 in exponential form is:
80186 = 21 × 400931
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 80186 and 80201.
LCM(80186,80201) = 21 × 400931 × 111 × 231 × 3171
LCM(80186,80201) = 6430997386
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