What is the Least Common Multiple of 1 and 56?
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 56 is 56.
LCM(1,56) = 56
Least Common Multiple of 1 and 56 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 56, than apply into the LCM equation.
GCF(1,56) = 1
LCM(1,56) = ( 1 × 56) / 1
LCM(1,56) = 56 / 1
LCM(1,56) = 56
Least Common Multiple (LCM) of 1 and 56 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1 and 56. First we will calculate the prime factors of 1 and 56.
Prime Factorization of 56
Prime factors of 56 are 2, 7. Prime factorization of 56 in exponential form is:
56 = 23 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 1 and 56.
LCM(1,56) = 23 × 71
LCM(1,56) = 56