What is the Least Common Multiple of 32178 and 32198?

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 32198 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 32198, than apply into the LCM equation.

GCF(32178,32198) = 2
LCM(32178,32198) = ( 32178 × 32198) / 2
LCM(32178,32198) = 1036067244 / 2
LCM(32178,32198) = 518033622

Least Common Multiple (LCM) of 32178 and 32198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32178 and 32198. First we will calculate the prime factors of 32178 and 32198.

Prime Factorization of 32178

Prime Factorization of 32198

Now multiplying the highest exponent prime factors to calculate the LCM of 32178 and 32198.

LCM(32178,32198) = 2¹ × 3¹ × 31¹ × 173¹ × 17¹ × 947¹
LCM(32178,32198) = 518033622