What is the Least Common Multiple of 54999 and 55006?

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 54999 and 55006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54999 and 55006, than apply into the LCM equation.

GCF(54999,55006) = 7
LCM(54999,55006) = ( 54999 × 55006) / 7
LCM(54999,55006) = 3025274994 / 7
LCM(54999,55006) = 432182142

Least Common Multiple (LCM) of 54999 and 55006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54999 and 55006. First we will calculate the prime factors of 54999 and 55006.

Prime Factorization of 54999

Prime Factorization of 55006

Now multiplying the highest exponent prime factors to calculate the LCM of 54999 and 55006.

LCM(54999,55006) = 3⁴ × 7¹ × 97¹ × 2¹ × 3929¹
LCM(54999,55006) = 432182142