What is the Least Common Multiple of 57788 and 57793?

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 57788 and 57793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57788 and 57793, than apply into the LCM equation.

GCF(57788,57793) = 1
LCM(57788,57793) = ( 57788 × 57793) / 1
LCM(57788,57793) = 3339741884 / 1
LCM(57788,57793) = 3339741884

Least Common Multiple (LCM) of 57788 and 57793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57788 and 57793. First we will calculate the prime factors of 57788 and 57793.

Prime Factorization of 57788

Prime Factorization of 57793

Now multiplying the highest exponent prime factors to calculate the LCM of 57788 and 57793.

LCM(57788,57793) = 2² × 14447¹ × 57793¹
LCM(57788,57793) = 3339741884