What is the Least Common Multiple of 32206 and 32218?

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 32206 and 32218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32206 and 32218, than apply into the LCM equation.

GCF(32206,32218) = 2
LCM(32206,32218) = ( 32206 × 32218) / 2
LCM(32206,32218) = 1037612908 / 2
LCM(32206,32218) = 518806454

Least Common Multiple (LCM) of 32206 and 32218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32206 and 32218. First we will calculate the prime factors of 32206 and 32218.

Prime Factorization of 32206

Prime Factorization of 32218

Now multiplying the highest exponent prime factors to calculate the LCM of 32206 and 32218.

LCM(32206,32218) = 2¹ × 16103¹ × 89¹ × 181¹
LCM(32206,32218) = 518806454