What is the Least Common Multiple of 80078 and 80085?
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 80078 and 80085 is 6413046630.
LCM(80078,80085) = 6413046630
Least Common Multiple of 80078 and 80085 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80078 and 80085, than apply into the LCM equation.
GCF(80078,80085) = 1
LCM(80078,80085) = ( 80078 × 80085) / 1
LCM(80078,80085) = 6413046630 / 1
LCM(80078,80085) = 6413046630
Least Common Multiple (LCM) of 80078 and 80085 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80078 and 80085. First we will calculate the prime factors of 80078 and 80085.
Prime Factorization of 80078
Prime factors of 80078 are 2, 40039. Prime factorization of 80078 in exponential form is:
80078 = 21 × 400391
Prime Factorization of 80085
Prime factors of 80085 are 3, 5, 19, 281. Prime factorization of 80085 in exponential form is:
80085 = 31 × 51 × 191 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 80078 and 80085.
LCM(80078,80085) = 21 × 400391 × 31 × 51 × 191 × 2811
LCM(80078,80085) = 6413046630
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