What is the Least Common Multiple of 32262 and 32281?

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 32262 and 32281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32262 and 32281, than apply into the LCM equation.

GCF(32262,32281) = 19
LCM(32262,32281) = ( 32262 × 32281) / 19
LCM(32262,32281) = 1041449622 / 19
LCM(32262,32281) = 54813138

Least Common Multiple (LCM) of 32262 and 32281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32262 and 32281. First we will calculate the prime factors of 32262 and 32281.

Prime Factorization of 32262

Prime Factorization of 32281

Now multiplying the highest exponent prime factors to calculate the LCM of 32262 and 32281.

LCM(32262,32281) = 2¹ × 3¹ × 19¹ × 283¹ × 1699¹
LCM(32262,32281) = 54813138