What is the Least Common Multiple of 80899 and 80911?
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 80899 and 80911 is 6545618989.
LCM(80899,80911) = 6545618989
Least Common Multiple of 80899 and 80911 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80899 and 80911, than apply into the LCM equation.
GCF(80899,80911) = 1
LCM(80899,80911) = ( 80899 × 80911) / 1
LCM(80899,80911) = 6545618989 / 1
LCM(80899,80911) = 6545618989
Least Common Multiple (LCM) of 80899 and 80911 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80899 and 80911. First we will calculate the prime factors of 80899 and 80911.
Prime Factorization of 80899
Prime factors of 80899 are 7, 13, 127. Prime factorization of 80899 in exponential form is:
80899 = 72 × 131 × 1271
Prime Factorization of 80911
Prime factors of 80911 are 80911. Prime factorization of 80911 in exponential form is:
80911 = 809111
Now multiplying the highest exponent prime factors to calculate the LCM of 80899 and 80911.
LCM(80899,80911) = 72 × 131 × 1271 × 809111
LCM(80899,80911) = 6545618989
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