What is the Least Common Multiple of 39013 and 39031?

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 39013 and 39031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39013 and 39031, than apply into the LCM equation.

GCF(39013,39031) = 1
LCM(39013,39031) = ( 39013 × 39031) / 1
LCM(39013,39031) = 1522716403 / 1
LCM(39013,39031) = 1522716403

Least Common Multiple (LCM) of 39013 and 39031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39013 and 39031. First we will calculate the prime factors of 39013 and 39031.

Prime Factorization of 39013

Prime Factorization of 39031

Now multiplying the highest exponent prime factors to calculate the LCM of 39013 and 39031.

LCM(39013,39031) = 13¹ × 3001¹ × 23¹ × 1697¹
LCM(39013,39031) = 1522716403