What is the Least Common Multiple of 80394 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 80394 and 80399 is 6463597206.
LCM(80394,80399) = 6463597206
Least Common Multiple of 80394 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 80394 and 80399, than apply into the LCM equation.
GCF(80394,80399) = 1
LCM(80394,80399) = ( 80394 × 80399) / 1
LCM(80394,80399) = 6463597206 / 1
LCM(80394,80399) = 6463597206
Least Common Multiple (LCM) of 80394 and 80399 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80394 and 80399. First we will calculate the prime factors of 80394 and 80399.
Prime Factorization of 80394
Prime factors of 80394 are 2, 3, 13399. Prime factorization of 80394 in exponential form is:
80394 = 21 × 31 × 133991
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 80394 and 80399.
LCM(80394,80399) = 21 × 31 × 133991 × 111 × 73091
LCM(80394,80399) = 6463597206
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