What is the Least Common Multiple of 32712 and 32729?

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 32712 and 32729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32712 and 32729, than apply into the LCM equation.

GCF(32712,32729) = 1
LCM(32712,32729) = ( 32712 × 32729) / 1
LCM(32712,32729) = 1070631048 / 1
LCM(32712,32729) = 1070631048

Least Common Multiple (LCM) of 32712 and 32729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32712 and 32729. First we will calculate the prime factors of 32712 and 32729.

Prime Factorization of 32712

Prime Factorization of 32729

Now multiplying the highest exponent prime factors to calculate the LCM of 32712 and 32729.

LCM(32712,32729) = 2³ × 3¹ × 29¹ × 47¹ × 23¹ × 1423¹
LCM(32712,32729) = 1070631048