What is the Least Common Multiple of 57438 and 57458?

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 57458 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 57458, than apply into the LCM equation.

GCF(57438,57458) = 2
LCM(57438,57458) = ( 57438 × 57458) / 2
LCM(57438,57458) = 3300272604 / 2
LCM(57438,57458) = 1650136302

Least Common Multiple (LCM) of 57438 and 57458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57438 and 57458. First we will calculate the prime factors of 57438 and 57458.

Prime Factorization of 57438

Prime Factorization of 57458

Now multiplying the highest exponent prime factors to calculate the LCM of 57438 and 57458.

LCM(57438,57458) = 2¹ × 3² × 3191¹ × 28729¹
LCM(57438,57458) = 1650136302