What is the Least Common Multiple of 55014 and 55031?

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 55014 and 55031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55014 and 55031, than apply into the LCM equation.

GCF(55014,55031) = 1
LCM(55014,55031) = ( 55014 × 55031) / 1
LCM(55014,55031) = 3027475434 / 1
LCM(55014,55031) = 3027475434

Least Common Multiple (LCM) of 55014 and 55031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55014 and 55031. First we will calculate the prime factors of 55014 and 55031.

Prime Factorization of 55014

Prime Factorization of 55031

Now multiplying the highest exponent prime factors to calculate the LCM of 55014 and 55031.

LCM(55014,55031) = 2¹ × 3¹ × 53¹ × 173¹ × 113¹ × 487¹
LCM(55014,55031) = 3027475434