What is the Least Common Multiple of 57240 and 57249?

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 57240 and 57249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57240 and 57249, than apply into the LCM equation.

GCF(57240,57249) = 9
LCM(57240,57249) = ( 57240 × 57249) / 9
LCM(57240,57249) = 3276932760 / 9
LCM(57240,57249) = 364103640

Least Common Multiple (LCM) of 57240 and 57249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57240 and 57249. First we will calculate the prime factors of 57240 and 57249.

Prime Factorization of 57240

Prime Factorization of 57249

Now multiplying the highest exponent prime factors to calculate the LCM of 57240 and 57249.

LCM(57240,57249) = 2³ × 3³ × 5¹ × 53¹ × 6361¹
LCM(57240,57249) = 364103640