What is the Least Common Multiple of 57438 and 57443?

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 57438 and 57443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57438 and 57443, than apply into the LCM equation.

GCF(57438,57443) = 1
LCM(57438,57443) = ( 57438 × 57443) / 1
LCM(57438,57443) = 3299411034 / 1
LCM(57438,57443) = 3299411034

Least Common Multiple (LCM) of 57438 and 57443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57438 and 57443. First we will calculate the prime factors of 57438 and 57443.

Prime Factorization of 57438

Prime Factorization of 57443

Now multiplying the highest exponent prime factors to calculate the LCM of 57438 and 57443.

LCM(57438,57443) = 2¹ × 3² × 3191¹ × 17¹ × 31¹ × 109¹
LCM(57438,57443) = 3299411034