What is the Least Common Multiple of 37981 and 37993?

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 37981 and 37993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37981 and 37993, than apply into the LCM equation.

GCF(37981,37993) = 1
LCM(37981,37993) = ( 37981 × 37993) / 1
LCM(37981,37993) = 1443012133 / 1
LCM(37981,37993) = 1443012133

Least Common Multiple (LCM) of 37981 and 37993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37981 and 37993. First we will calculate the prime factors of 37981 and 37993.

Prime Factorization of 37981

Prime Factorization of 37993

Now multiplying the highest exponent prime factors to calculate the LCM of 37981 and 37993.

LCM(37981,37993) = 19¹ × 1999¹ × 37993¹
LCM(37981,37993) = 1443012133