What is the Least Common Multiple of 80119 and 80139?
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 80119 and 80139 is 6420656541.
LCM(80119,80139) = 6420656541
Least Common Multiple of 80119 and 80139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80119 and 80139, than apply into the LCM equation.
GCF(80119,80139) = 1
LCM(80119,80139) = ( 80119 × 80139) / 1
LCM(80119,80139) = 6420656541 / 1
LCM(80119,80139) = 6420656541
Least Common Multiple (LCM) of 80119 and 80139 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80119 and 80139. First we will calculate the prime factors of 80119 and 80139.
Prime Factorization of 80119
Prime factors of 80119 are 13, 6163. Prime factorization of 80119 in exponential form is:
80119 = 131 × 61631
Prime Factorization of 80139
Prime factors of 80139 are 3, 26713. Prime factorization of 80139 in exponential form is:
80139 = 31 × 267131
Now multiplying the highest exponent prime factors to calculate the LCM of 80119 and 80139.
LCM(80119,80139) = 131 × 61631 × 31 × 267131
LCM(80119,80139) = 6420656541
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