What is the Least Common Multiple of 32586 and 32602?

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 32586 and 32602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32586 and 32602, than apply into the LCM equation.

GCF(32586,32602) = 2
LCM(32586,32602) = ( 32586 × 32602) / 2
LCM(32586,32602) = 1062368772 / 2
LCM(32586,32602) = 531184386

Least Common Multiple (LCM) of 32586 and 32602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32586 and 32602. First we will calculate the prime factors of 32586 and 32602.

Prime Factorization of 32586

Prime Factorization of 32602

Now multiplying the highest exponent prime factors to calculate the LCM of 32586 and 32602.

LCM(32586,32602) = 2¹ × 3¹ × 5431¹ × 16301¹
LCM(32586,32602) = 531184386