What is the Least Common Multiple of 33076 and 33081?

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 33076 and 33081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33076 and 33081, than apply into the LCM equation.

GCF(33076,33081) = 1
LCM(33076,33081) = ( 33076 × 33081) / 1
LCM(33076,33081) = 1094187156 / 1
LCM(33076,33081) = 1094187156

Least Common Multiple (LCM) of 33076 and 33081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33076 and 33081. First we will calculate the prime factors of 33076 and 33081.

Prime Factorization of 33076

Prime Factorization of 33081

Now multiplying the highest exponent prime factors to calculate the LCM of 33076 and 33081.

LCM(33076,33081) = 2² × 8269¹ × 3¹ × 11027¹
LCM(33076,33081) = 1094187156