What is the Least Common Multiple of 12160 and 12178?

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 12160 and 12178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12160 and 12178, than apply into the LCM equation.

GCF(12160,12178) = 2
LCM(12160,12178) = ( 12160 × 12178) / 2
LCM(12160,12178) = 148084480 / 2
LCM(12160,12178) = 74042240

Least Common Multiple (LCM) of 12160 and 12178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12160 and 12178. First we will calculate the prime factors of 12160 and 12178.

Prime Factorization of 12160

Prime Factorization of 12178

Now multiplying the highest exponent prime factors to calculate the LCM of 12160 and 12178.

LCM(12160,12178) = 2⁷ × 5¹ × 19¹ × 6089¹
LCM(12160,12178) = 74042240