What is the Least Common Multiple of 80207 and 80223?
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 80207 and 80223 is 6434446161.
LCM(80207,80223) = 6434446161
Least Common Multiple of 80207 and 80223 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80207 and 80223, than apply into the LCM equation.
GCF(80207,80223) = 1
LCM(80207,80223) = ( 80207 × 80223) / 1
LCM(80207,80223) = 6434446161 / 1
LCM(80207,80223) = 6434446161
Least Common Multiple (LCM) of 80207 and 80223 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80207 and 80223. First we will calculate the prime factors of 80207 and 80223.
Prime Factorization of 80207
Prime factors of 80207 are 80207. Prime factorization of 80207 in exponential form is:
80207 = 802071
Prime Factorization of 80223
Prime factors of 80223 are 3, 11, 13, 17. Prime factorization of 80223 in exponential form is:
80223 = 31 × 112 × 131 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 80207 and 80223.
LCM(80207,80223) = 802071 × 31 × 112 × 131 × 171
LCM(80207,80223) = 6434446161
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