What is the Least Common Multiple of 33005 and 33015?

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 33005 and 33015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33005 and 33015, than apply into the LCM equation.

GCF(33005,33015) = 5
LCM(33005,33015) = ( 33005 × 33015) / 5
LCM(33005,33015) = 1089660075 / 5
LCM(33005,33015) = 217932015

Least Common Multiple (LCM) of 33005 and 33015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33005 and 33015. First we will calculate the prime factors of 33005 and 33015.

Prime Factorization of 33005

Prime Factorization of 33015

Now multiplying the highest exponent prime factors to calculate the LCM of 33005 and 33015.

LCM(33005,33015) = 5¹ × 7¹ × 23¹ × 41¹ × 3¹ × 31¹ × 71¹
LCM(33005,33015) = 217932015