What is the Least Common Multiple of 57009 and 57024?

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 57009 and 57024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57009 and 57024, than apply into the LCM equation.

GCF(57009,57024) = 3
LCM(57009,57024) = ( 57009 × 57024) / 3
LCM(57009,57024) = 3250881216 / 3
LCM(57009,57024) = 1083627072

Least Common Multiple (LCM) of 57009 and 57024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57009 and 57024. First we will calculate the prime factors of 57009 and 57024.

Prime Factorization of 57009

Prime Factorization of 57024

Now multiplying the highest exponent prime factors to calculate the LCM of 57009 and 57024.

LCM(57009,57024) = 3⁴ × 31¹ × 613¹ × 2⁶ × 11¹
LCM(57009,57024) = 1083627072