What is the Least Common Multiple of 7983 and 8003?

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 7983 and 8003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7983 and 8003, than apply into the LCM equation.

GCF(7983,8003) = 1
LCM(7983,8003) = ( 7983 × 8003) / 1
LCM(7983,8003) = 63887949 / 1
LCM(7983,8003) = 63887949

Least Common Multiple (LCM) of 7983 and 8003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7983 and 8003. First we will calculate the prime factors of 7983 and 8003.

Prime Factorization of 7983

Prime Factorization of 8003

Now multiplying the highest exponent prime factors to calculate the LCM of 7983 and 8003.

LCM(7983,8003) = 3² × 887¹ × 53¹ × 151¹
LCM(7983,8003) = 63887949