What is the Least Common Multiple of 6002 and 6014?

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 6002 and 6014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6002 and 6014, than apply into the LCM equation.

GCF(6002,6014) = 2
LCM(6002,6014) = ( 6002 × 6014) / 2
LCM(6002,6014) = 36096028 / 2
LCM(6002,6014) = 18048014

Least Common Multiple (LCM) of 6002 and 6014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6002 and 6014. First we will calculate the prime factors of 6002 and 6014.

Prime Factorization of 6002

Prime Factorization of 6014

Now multiplying the highest exponent prime factors to calculate the LCM of 6002 and 6014.

LCM(6002,6014) = 2¹ × 3001¹ × 31¹ × 97¹
LCM(6002,6014) = 18048014