What is the Least Common Multiple of 37989 and 38001?

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 37989 and 38001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37989 and 38001, than apply into the LCM equation.

GCF(37989,38001) = 3
LCM(37989,38001) = ( 37989 × 38001) / 3
LCM(37989,38001) = 1443619989 / 3
LCM(37989,38001) = 481206663

Least Common Multiple (LCM) of 37989 and 38001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37989 and 38001. First we will calculate the prime factors of 37989 and 38001.

Prime Factorization of 37989

Prime Factorization of 38001

Now multiplying the highest exponent prime factors to calculate the LCM of 37989 and 38001.

LCM(37989,38001) = 3⁴ × 7¹ × 67¹ × 53¹ × 239¹
LCM(37989,38001) = 481206663