What is the Least Common Multiple of 41752 and 41758?

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 41752 and 41758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41752 and 41758, than apply into the LCM equation.

GCF(41752,41758) = 2
LCM(41752,41758) = ( 41752 × 41758) / 2
LCM(41752,41758) = 1743480016 / 2
LCM(41752,41758) = 871740008

Least Common Multiple (LCM) of 41752 and 41758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41752 and 41758. First we will calculate the prime factors of 41752 and 41758.

Prime Factorization of 41752

Prime Factorization of 41758

Now multiplying the highest exponent prime factors to calculate the LCM of 41752 and 41758.

LCM(41752,41758) = 2³ × 17¹ × 307¹ × 20879¹
LCM(41752,41758) = 871740008