What is the Least Common Multiple of 41160 and 41168?

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 41160 and 41168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41160 and 41168, than apply into the LCM equation.

GCF(41160,41168) = 8
LCM(41160,41168) = ( 41160 × 41168) / 8
LCM(41160,41168) = 1694474880 / 8
LCM(41160,41168) = 211809360

Least Common Multiple (LCM) of 41160 and 41168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41160 and 41168. First we will calculate the prime factors of 41160 and 41168.

Prime Factorization of 41160

Prime Factorization of 41168

Now multiplying the highest exponent prime factors to calculate the LCM of 41160 and 41168.

LCM(41160,41168) = 2⁴ × 3¹ × 5¹ × 7³ × 31¹ × 83¹
LCM(41160,41168) = 211809360