What is the Least Common Multiple of 33109 and 33114?

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 33109 and 33114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33109 and 33114, than apply into the LCM equation.

GCF(33109,33114) = 1
LCM(33109,33114) = ( 33109 × 33114) / 1
LCM(33109,33114) = 1096371426 / 1
LCM(33109,33114) = 1096371426

Least Common Multiple (LCM) of 33109 and 33114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33109 and 33114. First we will calculate the prime factors of 33109 and 33114.

Prime Factorization of 33109

Prime Factorization of 33114

Now multiplying the highest exponent prime factors to calculate the LCM of 33109 and 33114.

LCM(33109,33114) = 113¹ × 293¹ × 2¹ × 3¹ × 5519¹
LCM(33109,33114) = 1096371426