What is the Least Common Multiple of 54491 and 54506?

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 54491 and 54506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54491 and 54506, than apply into the LCM equation.

GCF(54491,54506) = 1
LCM(54491,54506) = ( 54491 × 54506) / 1
LCM(54491,54506) = 2970086446 / 1
LCM(54491,54506) = 2970086446

Least Common Multiple (LCM) of 54491 and 54506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54491 and 54506. First we will calculate the prime factors of 54491 and 54506.

Prime Factorization of 54491

Prime Factorization of 54506

Now multiplying the highest exponent prime factors to calculate the LCM of 54491 and 54506.

LCM(54491,54506) = 29¹ × 1879¹ × 2¹ × 27253¹
LCM(54491,54506) = 2970086446