What is the Least Common Multiple of 80079 and 80087?
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 80079 and 80087 is 6413286873.
LCM(80079,80087) = 6413286873
Least Common Multiple of 80079 and 80087 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80079 and 80087, than apply into the LCM equation.
GCF(80079,80087) = 1
LCM(80079,80087) = ( 80079 × 80087) / 1
LCM(80079,80087) = 6413286873 / 1
LCM(80079,80087) = 6413286873
Least Common Multiple (LCM) of 80079 and 80087 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80079 and 80087. First we will calculate the prime factors of 80079 and 80087.
Prime Factorization of 80079
Prime factors of 80079 are 3, 26693. Prime factorization of 80079 in exponential form is:
80079 = 31 × 266931
Prime Factorization of 80087
Prime factors of 80087 are 7, 17, 673. Prime factorization of 80087 in exponential form is:
80087 = 71 × 171 × 6731
Now multiplying the highest exponent prime factors to calculate the LCM of 80079 and 80087.
LCM(80079,80087) = 31 × 266931 × 71 × 171 × 6731
LCM(80079,80087) = 6413286873
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