What is the Least Common Multiple of 37998 and 38006?

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 37998 and 38006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37998 and 38006, than apply into the LCM equation.

GCF(37998,38006) = 2
LCM(37998,38006) = ( 37998 × 38006) / 2
LCM(37998,38006) = 1444151988 / 2
LCM(37998,38006) = 722075994

Least Common Multiple (LCM) of 37998 and 38006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37998 and 38006. First we will calculate the prime factors of 37998 and 38006.

Prime Factorization of 37998

Prime Factorization of 38006

Now multiplying the highest exponent prime factors to calculate the LCM of 37998 and 38006.

LCM(37998,38006) = 2¹ × 3² × 2111¹ × 31¹ × 613¹
LCM(37998,38006) = 722075994