What is the Least Common Multiple of 40983 and 41003?

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 40983 and 41003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40983 and 41003, than apply into the LCM equation.

GCF(40983,41003) = 1
LCM(40983,41003) = ( 40983 × 41003) / 1
LCM(40983,41003) = 1680425949 / 1
LCM(40983,41003) = 1680425949

Least Common Multiple (LCM) of 40983 and 41003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40983 and 41003. First we will calculate the prime factors of 40983 and 41003.

Prime Factorization of 40983

Prime Factorization of 41003

Now multiplying the highest exponent prime factors to calculate the LCM of 40983 and 41003.

LCM(40983,41003) = 3¹ × 19¹ × 719¹ × 131¹ × 313¹
LCM(40983,41003) = 1680425949