What is the Least Common Multiple of 32674 and 32689?

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 32674 and 32689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32674 and 32689, than apply into the LCM equation.

GCF(32674,32689) = 1
LCM(32674,32689) = ( 32674 × 32689) / 1
LCM(32674,32689) = 1068080386 / 1
LCM(32674,32689) = 1068080386

Least Common Multiple (LCM) of 32674 and 32689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32674 and 32689. First we will calculate the prime factors of 32674 and 32689.

Prime Factorization of 32674

Prime Factorization of 32689

Now multiplying the highest exponent prime factors to calculate the LCM of 32674 and 32689.

LCM(32674,32689) = 2¹ × 17¹ × 31² × 97¹ × 337¹
LCM(32674,32689) = 1068080386