What is the Least Common Multiple of 80895 and 80899?
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 80895 and 80899 is 6544324605.
LCM(80895,80899) = 6544324605
Least Common Multiple of 80895 and 80899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80895 and 80899, than apply into the LCM equation.
GCF(80895,80899) = 1
LCM(80895,80899) = ( 80895 × 80899) / 1
LCM(80895,80899) = 6544324605 / 1
LCM(80895,80899) = 6544324605
Least Common Multiple (LCM) of 80895 and 80899 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80895 and 80899. First we will calculate the prime factors of 80895 and 80899.
Prime Factorization of 80895
Prime factors of 80895 are 3, 5, 5393. Prime factorization of 80895 in exponential form is:
80895 = 31 × 51 × 53931
Prime Factorization of 80899
Prime factors of 80899 are 7, 13, 127. Prime factorization of 80899 in exponential form is:
80899 = 72 × 131 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 80895 and 80899.
LCM(80895,80899) = 31 × 51 × 53931 × 72 × 131 × 1271
LCM(80895,80899) = 6544324605
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