What is the Least Common Multiple of 3899 and 3911?
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 3899 and 3911 is 15248989.
LCM(3899,3911) = 15248989
Least Common Multiple of 3899 and 3911 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3899 and 3911, than apply into the LCM equation.
GCF(3899,3911) = 1
LCM(3899,3911) = ( 3899 × 3911) / 1
LCM(3899,3911) = 15248989 / 1
LCM(3899,3911) = 15248989
Least Common Multiple (LCM) of 3899 and 3911 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3899 and 3911. First we will calculate the prime factors of 3899 and 3911.
Prime Factorization of 3899
Prime factors of 3899 are 7, 557. Prime factorization of 3899 in exponential form is:
3899 = 71 × 5571
Prime Factorization of 3911
Prime factors of 3911 are 3911. Prime factorization of 3911 in exponential form is:
3911 = 39111
Now multiplying the highest exponent prime factors to calculate the LCM of 3899 and 3911.
LCM(3899,3911) = 71 × 5571 × 39111
LCM(3899,3911) = 15248989
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