What is the Least Common Multiple of 57446 and 57452?

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 57446 and 57452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57446 and 57452, than apply into the LCM equation.

GCF(57446,57452) = 2
LCM(57446,57452) = ( 57446 × 57452) / 2
LCM(57446,57452) = 3300387592 / 2
LCM(57446,57452) = 1650193796

Least Common Multiple (LCM) of 57446 and 57452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57446 and 57452. First we will calculate the prime factors of 57446 and 57452.

Prime Factorization of 57446

Prime Factorization of 57452

Now multiplying the highest exponent prime factors to calculate the LCM of 57446 and 57452.

LCM(57446,57452) = 2² × 28723¹ × 53¹ × 271¹
LCM(57446,57452) = 1650193796