What is the Least Common Multiple of 40 and 44?
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 40 and 44 is 440.
LCM(40,44) = 440
Least Common Multiple of 40 and 44 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40 and 44, than apply into the LCM equation.
GCF(40,44) = 4
LCM(40,44) = ( 40 × 44) / 4
LCM(40,44) = 1760 / 4
LCM(40,44) = 440
Least Common Multiple (LCM) of 40 and 44 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40 and 44. First we will calculate the prime factors of 40 and 44.
Prime Factorization of 40
Prime factors of 40 are 2, 5. Prime factorization of 40 in exponential form is:
40 = 23 × 51
Prime Factorization of 44
Prime factors of 44 are 2, 11. Prime factorization of 44 in exponential form is:
44 = 22 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 40 and 44.
LCM(40,44) = 23 × 51 × 111
LCM(40,44) = 440