What is the Least Common Multiple of 55314 and 55321?

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 55314 and 55321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55314 and 55321, than apply into the LCM equation.

GCF(55314,55321) = 7
LCM(55314,55321) = ( 55314 × 55321) / 7
LCM(55314,55321) = 3060025794 / 7
LCM(55314,55321) = 437146542

Least Common Multiple (LCM) of 55314 and 55321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55314 and 55321. First we will calculate the prime factors of 55314 and 55321.

Prime Factorization of 55314

Prime Factorization of 55321

Now multiplying the highest exponent prime factors to calculate the LCM of 55314 and 55321.

LCM(55314,55321) = 2¹ × 3² × 7² × 439¹ × 1129¹
LCM(55314,55321) = 437146542