What is the Least Common Multiple of 32178 and 32188?

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 32178 and 32188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32178 and 32188, than apply into the LCM equation.

GCF(32178,32188) = 2
LCM(32178,32188) = ( 32178 × 32188) / 2
LCM(32178,32188) = 1035745464 / 2
LCM(32178,32188) = 517872732

Least Common Multiple (LCM) of 32178 and 32188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32178 and 32188. First we will calculate the prime factors of 32178 and 32188.

Prime Factorization of 32178

Prime Factorization of 32188

Now multiplying the highest exponent prime factors to calculate the LCM of 32178 and 32188.

LCM(32178,32188) = 2² × 3¹ × 31¹ × 173¹ × 13¹ × 619¹
LCM(32178,32188) = 517872732