What is the Least Common Multiple of 57428 and 57438?

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 57428 and 57438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57428 and 57438, than apply into the LCM equation.

GCF(57428,57438) = 2
LCM(57428,57438) = ( 57428 × 57438) / 2
LCM(57428,57438) = 3298549464 / 2
LCM(57428,57438) = 1649274732

Least Common Multiple (LCM) of 57428 and 57438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57428 and 57438. First we will calculate the prime factors of 57428 and 57438.

Prime Factorization of 57428

Prime Factorization of 57438

Now multiplying the highest exponent prime factors to calculate the LCM of 57428 and 57438.

LCM(57428,57438) = 2² × 7² × 293¹ × 3² × 3191¹
LCM(57428,57438) = 1649274732