What is the Least Common Multiple of 33102 and 33109?

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 33102 and 33109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33102 and 33109, than apply into the LCM equation.

GCF(33102,33109) = 1
LCM(33102,33109) = ( 33102 × 33109) / 1
LCM(33102,33109) = 1095974118 / 1
LCM(33102,33109) = 1095974118

Least Common Multiple (LCM) of 33102 and 33109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33102 and 33109. First we will calculate the prime factors of 33102 and 33109.

Prime Factorization of 33102

Prime Factorization of 33109

Now multiplying the highest exponent prime factors to calculate the LCM of 33102 and 33109.

LCM(33102,33109) = 2¹ × 3³ × 613¹ × 113¹ × 293¹
LCM(33102,33109) = 1095974118