What is the Least Common Multiple of 33309 and 33313?

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 33309 and 33313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33309 and 33313, than apply into the LCM equation.

GCF(33309,33313) = 1
LCM(33309,33313) = ( 33309 × 33313) / 1
LCM(33309,33313) = 1109622717 / 1
LCM(33309,33313) = 1109622717

Least Common Multiple (LCM) of 33309 and 33313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33309 and 33313. First we will calculate the prime factors of 33309 and 33313.

Prime Factorization of 33309

Prime Factorization of 33313

Now multiplying the highest exponent prime factors to calculate the LCM of 33309 and 33313.

LCM(33309,33313) = 3² × 3701¹ × 7¹ × 4759¹
LCM(33309,33313) = 1109622717