What is the Least Common Multiple of 80587 and 80604?
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 80587 and 80604 is 6495634548.
LCM(80587,80604) = 6495634548
Least Common Multiple of 80587 and 80604 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80587 and 80604, than apply into the LCM equation.
GCF(80587,80604) = 1
LCM(80587,80604) = ( 80587 × 80604) / 1
LCM(80587,80604) = 6495634548 / 1
LCM(80587,80604) = 6495634548
Least Common Multiple (LCM) of 80587 and 80604 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80587 and 80604. First we will calculate the prime factors of 80587 and 80604.
Prime Factorization of 80587
Prime factors of 80587 are 13, 6199. Prime factorization of 80587 in exponential form is:
80587 = 131 × 61991
Prime Factorization of 80604
Prime factors of 80604 are 2, 3, 2239. Prime factorization of 80604 in exponential form is:
80604 = 22 × 32 × 22391
Now multiplying the highest exponent prime factors to calculate the LCM of 80587 and 80604.
LCM(80587,80604) = 131 × 61991 × 22 × 32 × 22391
LCM(80587,80604) = 6495634548
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