What is the Least Common Multiple of 14160 and 14178?

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 14160 and 14178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14160 and 14178, than apply into the LCM equation.

GCF(14160,14178) = 6
LCM(14160,14178) = ( 14160 × 14178) / 6
LCM(14160,14178) = 200760480 / 6
LCM(14160,14178) = 33460080

Least Common Multiple (LCM) of 14160 and 14178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14160 and 14178. First we will calculate the prime factors of 14160 and 14178.

Prime Factorization of 14160

Prime Factorization of 14178

Now multiplying the highest exponent prime factors to calculate the LCM of 14160 and 14178.

LCM(14160,14178) = 2⁴ × 3¹ × 5¹ × 59¹ × 17¹ × 139¹
LCM(14160,14178) = 33460080