What is the Least Common Multiple of 80389 and 80399?
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 80389 and 80399 is 6463195211.
LCM(80389,80399) = 6463195211
Least Common Multiple of 80389 and 80399 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80389 and 80399, than apply into the LCM equation.
GCF(80389,80399) = 1
LCM(80389,80399) = ( 80389 × 80399) / 1
LCM(80389,80399) = 6463195211 / 1
LCM(80389,80399) = 6463195211
Least Common Multiple (LCM) of 80389 and 80399 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80389 and 80399. First we will calculate the prime factors of 80389 and 80399.
Prime Factorization of 80389
Prime factors of 80389 are 19, 4231. Prime factorization of 80389 in exponential form is:
80389 = 191 × 42311
Prime Factorization of 80399
Prime factors of 80399 are 11, 7309. Prime factorization of 80399 in exponential form is:
80399 = 111 × 73091
Now multiplying the highest exponent prime factors to calculate the LCM of 80389 and 80399.
LCM(80389,80399) = 191 × 42311 × 111 × 73091
LCM(80389,80399) = 6463195211
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