What is the Least Common Multiple of 32178 and 32187?

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 32187 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 32187, than apply into the LCM equation.

GCF(32178,32187) = 3
LCM(32178,32187) = ( 32178 × 32187) / 3
LCM(32178,32187) = 1035713286 / 3
LCM(32178,32187) = 345237762

Least Common Multiple (LCM) of 32178 and 32187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32178 and 32187. First we will calculate the prime factors of 32178 and 32187.

Prime Factorization of 32178

Prime Factorization of 32187

Now multiplying the highest exponent prime factors to calculate the LCM of 32178 and 32187.

LCM(32178,32187) = 2¹ × 3¹ × 31¹ × 173¹ × 10729¹
LCM(32178,32187) = 345237762