What is the Least Common Multiple of 38992 and 39001?

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 38992 and 39001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38992 and 39001, than apply into the LCM equation.

GCF(38992,39001) = 1
LCM(38992,39001) = ( 38992 × 39001) / 1
LCM(38992,39001) = 1520726992 / 1
LCM(38992,39001) = 1520726992

Least Common Multiple (LCM) of 38992 and 39001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38992 and 39001. First we will calculate the prime factors of 38992 and 39001.

Prime Factorization of 38992

Prime Factorization of 39001

Now multiplying the highest exponent prime factors to calculate the LCM of 38992 and 39001.

LCM(38992,39001) = 2⁴ × 2437¹ × 43¹ × 907¹
LCM(38992,39001) = 1520726992