What is the Least Common Multiple of 29184 and 29188?

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 29184 and 29188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29184 and 29188, than apply into the LCM equation.

GCF(29184,29188) = 4
LCM(29184,29188) = ( 29184 × 29188) / 4
LCM(29184,29188) = 851822592 / 4
LCM(29184,29188) = 212955648

Least Common Multiple (LCM) of 29184 and 29188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29184 and 29188. First we will calculate the prime factors of 29184 and 29188.

Prime Factorization of 29184

Prime Factorization of 29188

Now multiplying the highest exponent prime factors to calculate the LCM of 29184 and 29188.

LCM(29184,29188) = 2⁹ × 3¹ × 19¹ × 7297¹
LCM(29184,29188) = 212955648