What is the Least Common Multiple of 54574 and 54585?

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 54574 and 54585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54574 and 54585, than apply into the LCM equation.

GCF(54574,54585) = 1
LCM(54574,54585) = ( 54574 × 54585) / 1
LCM(54574,54585) = 2978921790 / 1
LCM(54574,54585) = 2978921790

Least Common Multiple (LCM) of 54574 and 54585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54574 and 54585. First we will calculate the prime factors of 54574 and 54585.

Prime Factorization of 54574

Prime Factorization of 54585

Now multiplying the highest exponent prime factors to calculate the LCM of 54574 and 54585.

LCM(54574,54585) = 2¹ × 13¹ × 2099¹ × 3² × 5¹ × 1213¹
LCM(54574,54585) = 2978921790