What is the Least Common Multiple of 34004 and 34012?

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 34004 and 34012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34004 and 34012, than apply into the LCM equation.

GCF(34004,34012) = 4
LCM(34004,34012) = ( 34004 × 34012) / 4
LCM(34004,34012) = 1156544048 / 4
LCM(34004,34012) = 289136012

Least Common Multiple (LCM) of 34004 and 34012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34004 and 34012. First we will calculate the prime factors of 34004 and 34012.

Prime Factorization of 34004

Prime Factorization of 34012

Now multiplying the highest exponent prime factors to calculate the LCM of 34004 and 34012.

LCM(34004,34012) = 2² × 8501¹ × 11¹ × 773¹
LCM(34004,34012) = 289136012