What is the Least Common Multiple of 41760 and 41770?

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 41760 and 41770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41760 and 41770, than apply into the LCM equation.

GCF(41760,41770) = 10
LCM(41760,41770) = ( 41760 × 41770) / 10
LCM(41760,41770) = 1744315200 / 10
LCM(41760,41770) = 174431520

Least Common Multiple (LCM) of 41760 and 41770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41760 and 41770. First we will calculate the prime factors of 41760 and 41770.

Prime Factorization of 41760

Prime Factorization of 41770

Now multiplying the highest exponent prime factors to calculate the LCM of 41760 and 41770.

LCM(41760,41770) = 2⁵ × 3² × 5¹ × 29¹ × 4177¹
LCM(41760,41770) = 174431520