What is the Least Common Multiple of 41168 and 41173?

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 41168 and 41173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41168 and 41173, than apply into the LCM equation.

GCF(41168,41173) = 1
LCM(41168,41173) = ( 41168 × 41173) / 1
LCM(41168,41173) = 1695010064 / 1
LCM(41168,41173) = 1695010064

Least Common Multiple (LCM) of 41168 and 41173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41168 and 41173. First we will calculate the prime factors of 41168 and 41173.

Prime Factorization of 41168

Prime Factorization of 41173

Now multiplying the highest exponent prime factors to calculate the LCM of 41168 and 41173.

LCM(41168,41173) = 2⁴ × 31¹ × 83¹ × 11¹ × 19¹ × 197¹
LCM(41168,41173) = 1695010064