What is the Least Common Multiple of 9 and 3?
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 9 and 3 is 9.
LCM(9,3) = 9
Least Common Multiple of 9 and 3 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9 and 3, than apply into the LCM equation.
GCF(9,3) = 3
LCM(9,3) = ( 9 × 3) / 3
LCM(9,3) = 27 / 3
LCM(9,3) = 9
Least Common Multiple (LCM) of 9 and 3 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9 and 3. First we will calculate the prime factors of 9 and 3.
Prime Factorization of 9
Prime factors of 9 are 3. Prime factorization of 9 in exponential form is:
9 = 32
Prime Factorization of 3
Prime factors of 3 are 3. Prime factorization of 3 in exponential form is:
3 = 31
Now multiplying the highest exponent prime factors to calculate the LCM of 9 and 3.
LCM(9,3) = 32
LCM(9,3) = 9