What is the Least Common Multiple of 6983 and 7003?

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 6983 and 7003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6983 and 7003, than apply into the LCM equation.

GCF(6983,7003) = 1
LCM(6983,7003) = ( 6983 × 7003) / 1
LCM(6983,7003) = 48901949 / 1
LCM(6983,7003) = 48901949

Least Common Multiple (LCM) of 6983 and 7003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6983 and 7003. First we will calculate the prime factors of 6983 and 7003.

Prime Factorization of 6983

Prime Factorization of 7003

Now multiplying the highest exponent prime factors to calculate the LCM of 6983 and 7003.

LCM(6983,7003) = 6983¹ × 47¹ × 149¹
LCM(6983,7003) = 48901949