What is the Least Common Multiple of 32164 and 32174?

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 32164 and 32174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32164 and 32174, than apply into the LCM equation.

GCF(32164,32174) = 2
LCM(32164,32174) = ( 32164 × 32174) / 2
LCM(32164,32174) = 1034844536 / 2
LCM(32164,32174) = 517422268

Least Common Multiple (LCM) of 32164 and 32174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32164 and 32174. First we will calculate the prime factors of 32164 and 32174.

Prime Factorization of 32164

Prime Factorization of 32174

Now multiplying the highest exponent prime factors to calculate the LCM of 32164 and 32174.

LCM(32164,32174) = 2² × 11¹ × 17¹ × 43¹ × 16087¹
LCM(32164,32174) = 517422268