What is the Least Common Multiple of 80165 and 80179?
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 80165 and 80179 is 6427549535.
LCM(80165,80179) = 6427549535
Least Common Multiple of 80165 and 80179 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80165 and 80179, than apply into the LCM equation.
GCF(80165,80179) = 1
LCM(80165,80179) = ( 80165 × 80179) / 1
LCM(80165,80179) = 6427549535 / 1
LCM(80165,80179) = 6427549535
Least Common Multiple (LCM) of 80165 and 80179 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80165 and 80179. First we will calculate the prime factors of 80165 and 80179.
Prime Factorization of 80165
Prime factors of 80165 are 5, 16033. Prime factorization of 80165 in exponential form is:
80165 = 51 × 160331
Prime Factorization of 80179
Prime factors of 80179 are 11, 37, 197. Prime factorization of 80179 in exponential form is:
80179 = 111 × 371 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 80165 and 80179.
LCM(80165,80179) = 51 × 160331 × 111 × 371 × 1971
LCM(80165,80179) = 6427549535
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