What is the Least Common Multiple of 4554 and 4566?

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 4554 and 4566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4554 and 4566, than apply into the LCM equation.

GCF(4554,4566) = 6
LCM(4554,4566) = ( 4554 × 4566) / 6
LCM(4554,4566) = 20793564 / 6
LCM(4554,4566) = 3465594

Least Common Multiple (LCM) of 4554 and 4566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4554 and 4566. First we will calculate the prime factors of 4554 and 4566.

Prime Factorization of 4554

Prime Factorization of 4566

Now multiplying the highest exponent prime factors to calculate the LCM of 4554 and 4566.

LCM(4554,4566) = 2¹ × 3² × 11¹ × 23¹ × 761¹
LCM(4554,4566) = 3465594