What is the Least Common Multiple of 33038 and 33058?

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 33038 and 33058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33038 and 33058, than apply into the LCM equation.

GCF(33038,33058) = 2
LCM(33038,33058) = ( 33038 × 33058) / 2
LCM(33038,33058) = 1092170204 / 2
LCM(33038,33058) = 546085102

Least Common Multiple (LCM) of 33038 and 33058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33038 and 33058. First we will calculate the prime factors of 33038 and 33058.

Prime Factorization of 33038

Prime Factorization of 33058

Now multiplying the highest exponent prime factors to calculate the LCM of 33038 and 33058.

LCM(33038,33058) = 2¹ × 16519¹ × 16529¹
LCM(33038,33058) = 546085102