What is the Least Common Multiple of 33988 and 34003?

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 33988 and 34003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33988 and 34003, than apply into the LCM equation.

GCF(33988,34003) = 1
LCM(33988,34003) = ( 33988 × 34003) / 1
LCM(33988,34003) = 1155693964 / 1
LCM(33988,34003) = 1155693964

Least Common Multiple (LCM) of 33988 and 34003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33988 and 34003. First we will calculate the prime factors of 33988 and 34003.

Prime Factorization of 33988

Prime Factorization of 34003

Now multiplying the highest exponent prime factors to calculate the LCM of 33988 and 34003.

LCM(33988,34003) = 2² × 29¹ × 293¹ × 37¹ × 919¹
LCM(33988,34003) = 1155693964