What is the Least Common Multiple of 8 and 32?
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 8 and 32 is 32.
LCM(8,32) = 32
Least Common Multiple of 8 and 32 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8 and 32, than apply into the LCM equation.
GCF(8,32) = 8
LCM(8,32) = ( 8 × 32) / 8
LCM(8,32) = 256 / 8
LCM(8,32) = 32
Least Common Multiple (LCM) of 8 and 32 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8 and 32. First we will calculate the prime factors of 8 and 32.
Prime Factorization of 8
Prime factors of 8 are 2. Prime factorization of 8 in exponential form is:
8 = 23
Prime Factorization of 32
Prime factors of 32 are 2. Prime factorization of 32 in exponential form is:
32 = 25
Now multiplying the highest exponent prime factors to calculate the LCM of 8 and 32.
LCM(8,32) = 25
LCM(8,32) = 32