What is the Least Common Multiple of 57024 and 57035?

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 57024 and 57035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57024 and 57035, than apply into the LCM equation.

GCF(57024,57035) = 11
LCM(57024,57035) = ( 57024 × 57035) / 11
LCM(57024,57035) = 3252363840 / 11
LCM(57024,57035) = 295669440

Least Common Multiple (LCM) of 57024 and 57035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57024 and 57035. First we will calculate the prime factors of 57024 and 57035.

Prime Factorization of 57024

Prime Factorization of 57035

Now multiplying the highest exponent prime factors to calculate the LCM of 57024 and 57035.

LCM(57024,57035) = 2⁶ × 3⁴ × 11¹ × 5¹ × 17¹ × 61¹
LCM(57024,57035) = 295669440