What is the Least Common Multiple of 32509 and 32514?

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 32509 and 32514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32509 and 32514, than apply into the LCM equation.

GCF(32509,32514) = 1
LCM(32509,32514) = ( 32509 × 32514) / 1
LCM(32509,32514) = 1056997626 / 1
LCM(32509,32514) = 1056997626

Least Common Multiple (LCM) of 32509 and 32514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32509 and 32514. First we will calculate the prime factors of 32509 and 32514.

Prime Factorization of 32509

Prime Factorization of 32514

Now multiplying the highest exponent prime factors to calculate the LCM of 32509 and 32514.

LCM(32509,32514) = 19¹ × 29¹ × 59¹ × 2¹ × 3¹ × 5419¹
LCM(32509,32514) = 1056997626