What is the Least Common Multiple of 32514 and 32519?

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 32514 and 32519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32514 and 32519, than apply into the LCM equation.

GCF(32514,32519) = 1
LCM(32514,32519) = ( 32514 × 32519) / 1
LCM(32514,32519) = 1057322766 / 1
LCM(32514,32519) = 1057322766

Least Common Multiple (LCM) of 32514 and 32519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32514 and 32519. First we will calculate the prime factors of 32514 and 32519.

Prime Factorization of 32514

Prime Factorization of 32519

Now multiplying the highest exponent prime factors to calculate the LCM of 32514 and 32519.

LCM(32514,32519) = 2¹ × 3¹ × 5419¹ × 31¹ × 1049¹
LCM(32514,32519) = 1057322766