What is the Least Common Multiple of 45554 and 45566?

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 45554 and 45566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45554 and 45566, than apply into the LCM equation.

GCF(45554,45566) = 2
LCM(45554,45566) = ( 45554 × 45566) / 2
LCM(45554,45566) = 2075713564 / 2
LCM(45554,45566) = 1037856782

Least Common Multiple (LCM) of 45554 and 45566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45554 and 45566. First we will calculate the prime factors of 45554 and 45566.

Prime Factorization of 45554

Prime Factorization of 45566

Now multiplying the highest exponent prime factors to calculate the LCM of 45554 and 45566.

LCM(45554,45566) = 2¹ × 22777¹ × 22783¹
LCM(45554,45566) = 1037856782