What is the Least Common Multiple of 80599 and 80614?
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 80599 and 80614 is 6497407786.
LCM(80599,80614) = 6497407786
Least Common Multiple of 80599 and 80614 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80599 and 80614, than apply into the LCM equation.
GCF(80599,80614) = 1
LCM(80599,80614) = ( 80599 × 80614) / 1
LCM(80599,80614) = 6497407786 / 1
LCM(80599,80614) = 6497407786
Least Common Multiple (LCM) of 80599 and 80614 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80599 and 80614. First we will calculate the prime factors of 80599 and 80614.
Prime Factorization of 80599
Prime factors of 80599 are 80599. Prime factorization of 80599 in exponential form is:
80599 = 805991
Prime Factorization of 80614
Prime factors of 80614 are 2, 17, 2371. Prime factorization of 80614 in exponential form is:
80614 = 21 × 171 × 23711
Now multiplying the highest exponent prime factors to calculate the LCM of 80599 and 80614.
LCM(80599,80614) = 805991 × 21 × 171 × 23711
LCM(80599,80614) = 6497407786
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