What is the Least Common Multiple of 57805 and 57824?

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 57805 and 57824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57805 and 57824, than apply into the LCM equation.

GCF(57805,57824) = 1
LCM(57805,57824) = ( 57805 × 57824) / 1
LCM(57805,57824) = 3342516320 / 1
LCM(57805,57824) = 3342516320

Least Common Multiple (LCM) of 57805 and 57824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57805 and 57824. First we will calculate the prime factors of 57805 and 57824.

Prime Factorization of 57805

Prime Factorization of 57824

Now multiplying the highest exponent prime factors to calculate the LCM of 57805 and 57824.

LCM(57805,57824) = 5¹ × 11¹ × 1051¹ × 2⁵ × 13¹ × 139¹
LCM(57805,57824) = 3342516320