What is the Least Common Multiple of 66033 and 66049?

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 66033 and 66049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66033 and 66049, than apply into the LCM equation.

GCF(66033,66049) = 1
LCM(66033,66049) = ( 66033 × 66049) / 1
LCM(66033,66049) = 4361413617 / 1
LCM(66033,66049) = 4361413617

Least Common Multiple (LCM) of 66033 and 66049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66033 and 66049. First we will calculate the prime factors of 66033 and 66049.

Prime Factorization of 66033

Prime Factorization of 66049

Now multiplying the highest exponent prime factors to calculate the LCM of 66033 and 66049.

LCM(66033,66049) = 3² × 11¹ × 23¹ × 29¹ × 257²
LCM(66033,66049) = 4361413617