What is the Least Common Multiple of 33067 and 33079?

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 33067 and 33079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33067 and 33079, than apply into the LCM equation.

GCF(33067,33079) = 1
LCM(33067,33079) = ( 33067 × 33079) / 1
LCM(33067,33079) = 1093823293 / 1
LCM(33067,33079) = 1093823293

Least Common Multiple (LCM) of 33067 and 33079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33067 and 33079. First we will calculate the prime factors of 33067 and 33079.

Prime Factorization of 33067

Prime Factorization of 33079

Now multiplying the highest exponent prime factors to calculate the LCM of 33067 and 33079.

LCM(33067,33079) = 43¹ × 769¹ × 19¹ × 1741¹
LCM(33067,33079) = 1093823293