What is the Least Common Multiple of 33999 and 34006?

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 33999 and 34006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33999 and 34006, than apply into the LCM equation.

GCF(33999,34006) = 7
LCM(33999,34006) = ( 33999 × 34006) / 7
LCM(33999,34006) = 1156169994 / 7
LCM(33999,34006) = 165167142

Least Common Multiple (LCM) of 33999 and 34006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33999 and 34006. First we will calculate the prime factors of 33999 and 34006.

Prime Factorization of 33999

Prime Factorization of 34006

Now multiplying the highest exponent prime factors to calculate the LCM of 33999 and 34006.

LCM(33999,34006) = 3¹ × 7² × 1619¹ × 2¹ × 347¹
LCM(33999,34006) = 165167142