What is the Least Common Multiple of 32536 and 32542?

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 32536 and 32542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32536 and 32542, than apply into the LCM equation.

GCF(32536,32542) = 2
LCM(32536,32542) = ( 32536 × 32542) / 2
LCM(32536,32542) = 1058786512 / 2
LCM(32536,32542) = 529393256

Least Common Multiple (LCM) of 32536 and 32542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32536 and 32542. First we will calculate the prime factors of 32536 and 32542.

Prime Factorization of 32536

Prime Factorization of 32542

Now multiplying the highest exponent prime factors to calculate the LCM of 32536 and 32542.

LCM(32536,32542) = 2³ × 7² × 83¹ × 53¹ × 307¹
LCM(32536,32542) = 529393256