What is the Least Common Multiple of 51952 and 51966?

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 of 51952 and 51966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51952 and 51966, than apply into the LCM equation.

GCF(51952,51966) = 2
LCM(51952,51966) = ( 51952 × 51966) / 2
LCM(51952,51966) = 2699737632 / 2
LCM(51952,51966) = 1349868816

Least Common Multiple (LCM) of 51952 and 51966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51952 and 51966. First we will calculate the prime factors of 51952 and 51966.

Prime Factorization of 51952

Prime Factorization of 51966

Now multiplying the highest exponent prime factors to calculate the LCM of 51952 and 51966.

LCM(51952,51966) = 2⁴ × 17¹ × 191¹ × 3² × 2887¹
LCM(51952,51966) = 1349868816