What is the Least Common Multiple of 33996 and 34007?

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 33996 and 34007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33996 and 34007, than apply into the LCM equation.

GCF(33996,34007) = 1
LCM(33996,34007) = ( 33996 × 34007) / 1
LCM(33996,34007) = 1156101972 / 1
LCM(33996,34007) = 1156101972

Least Common Multiple (LCM) of 33996 and 34007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33996 and 34007. First we will calculate the prime factors of 33996 and 34007.

Prime Factorization of 33996

Prime Factorization of 34007

Now multiplying the highest exponent prime factors to calculate the LCM of 33996 and 34007.

LCM(33996,34007) = 2² × 3¹ × 2833¹ × 31¹ × 1097¹
LCM(33996,34007) = 1156101972