What is the Least Common Multiple of 32991 and 33005?

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 32991 and 33005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32991 and 33005, than apply into the LCM equation.

GCF(32991,33005) = 7
LCM(32991,33005) = ( 32991 × 33005) / 7
LCM(32991,33005) = 1088867955 / 7
LCM(32991,33005) = 155552565

Least Common Multiple (LCM) of 32991 and 33005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32991 and 33005. First we will calculate the prime factors of 32991 and 33005.

Prime Factorization of 32991

Prime Factorization of 33005

Now multiplying the highest exponent prime factors to calculate the LCM of 32991 and 33005.

LCM(32991,33005) = 3¹ × 7¹ × 1571¹ × 5¹ × 23¹ × 41¹
LCM(32991,33005) = 155552565