What is the Least Common Multiple of 49014 and 49031?

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 49014 and 49031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49014 and 49031, than apply into the LCM equation.

GCF(49014,49031) = 1
LCM(49014,49031) = ( 49014 × 49031) / 1
LCM(49014,49031) = 2403205434 / 1
LCM(49014,49031) = 2403205434

Least Common Multiple (LCM) of 49014 and 49031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49014 and 49031. First we will calculate the prime factors of 49014 and 49031.

Prime Factorization of 49014

Prime Factorization of 49031

Now multiplying the highest exponent prime factors to calculate the LCM of 49014 and 49031.

LCM(49014,49031) = 2¹ × 3² × 7¹ × 389¹ × 49031¹
LCM(49014,49031) = 2403205434