What is the Least Common Multiple of 37982 and 37999?

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 37982 and 37999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37982 and 37999, than apply into the LCM equation.

GCF(37982,37999) = 1
LCM(37982,37999) = ( 37982 × 37999) / 1
LCM(37982,37999) = 1443278018 / 1
LCM(37982,37999) = 1443278018

Least Common Multiple (LCM) of 37982 and 37999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37982 and 37999. First we will calculate the prime factors of 37982 and 37999.

Prime Factorization of 37982

Prime Factorization of 37999

Now multiplying the highest exponent prime factors to calculate the LCM of 37982 and 37999.

LCM(37982,37999) = 2¹ × 7¹ × 2713¹ × 13¹ × 37¹ × 79¹
LCM(37982,37999) = 1443278018