What is the Least Common Multiple of 4546 and 4554?

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 4546 and 4554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4546 and 4554, than apply into the LCM equation.

GCF(4546,4554) = 2
LCM(4546,4554) = ( 4546 × 4554) / 2
LCM(4546,4554) = 20702484 / 2
LCM(4546,4554) = 10351242

Least Common Multiple (LCM) of 4546 and 4554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4546 and 4554. First we will calculate the prime factors of 4546 and 4554.

Prime Factorization of 4546

Prime Factorization of 4554

Now multiplying the highest exponent prime factors to calculate the LCM of 4546 and 4554.

LCM(4546,4554) = 2¹ × 2273¹ × 3² × 11¹ × 23¹
LCM(4546,4554) = 10351242