What is the Least Common Multiple of 1 and 2?
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 1 and 2 is 2.
LCM(1,2) = 2
Least Common Multiple of 1 and 2 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1 and 2, than apply into the LCM equation.
GCF(1,2) = 1
LCM(1,2) = ( 1 × 2) / 1
LCM(1,2) = 2 / 1
LCM(1,2) = 2
Least Common Multiple (LCM) of 1 and 2 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1 and 2. First we will calculate the prime factors of 1 and 2.
Prime Factorization of 2
Prime factors of 2 are 2. Prime factorization of 2 in exponential form is:
2 = 21
Now multiplying the highest exponent prime factors to calculate the LCM of 1 and 2.
LCM(1,2) = 21
LCM(1,2) = 2