What is the Least Common Multiple of 32216 and 32234?

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 32216 and 32234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32216 and 32234, than apply into the LCM equation.

GCF(32216,32234) = 2
LCM(32216,32234) = ( 32216 × 32234) / 2
LCM(32216,32234) = 1038450544 / 2
LCM(32216,32234) = 519225272

Least Common Multiple (LCM) of 32216 and 32234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32216 and 32234. First we will calculate the prime factors of 32216 and 32234.

Prime Factorization of 32216

Prime Factorization of 32234

Now multiplying the highest exponent prime factors to calculate the LCM of 32216 and 32234.

LCM(32216,32234) = 2³ × 4027¹ × 71¹ × 227¹
LCM(32216,32234) = 519225272