What is the Least Common Multiple of 40014 and 40031?

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 40014 and 40031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40014 and 40031, than apply into the LCM equation.

GCF(40014,40031) = 1
LCM(40014,40031) = ( 40014 × 40031) / 1
LCM(40014,40031) = 1601800434 / 1
LCM(40014,40031) = 1601800434

Least Common Multiple (LCM) of 40014 and 40031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40014 and 40031. First we will calculate the prime factors of 40014 and 40031.

Prime Factorization of 40014

Prime Factorization of 40031

Now multiplying the highest exponent prime factors to calculate the LCM of 40014 and 40031.

LCM(40014,40031) = 2¹ × 3⁴ × 13¹ × 19¹ × 40031¹
LCM(40014,40031) = 1601800434