What is the Least Common Multiple of 40176 and 40188?

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 40176 and 40188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40176 and 40188, than apply into the LCM equation.

GCF(40176,40188) = 12
LCM(40176,40188) = ( 40176 × 40188) / 12
LCM(40176,40188) = 1614593088 / 12
LCM(40176,40188) = 134549424

Least Common Multiple (LCM) of 40176 and 40188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40176 and 40188. First we will calculate the prime factors of 40176 and 40188.

Prime Factorization of 40176

Prime Factorization of 40188

Now multiplying the highest exponent prime factors to calculate the LCM of 40176 and 40188.

LCM(40176,40188) = 2⁴ × 3⁴ × 31¹ × 17¹ × 197¹
LCM(40176,40188) = 134549424