What is the Least Common Multiple of 57434 and 57446?

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 57434 and 57446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57434 and 57446, than apply into the LCM equation.

GCF(57434,57446) = 2
LCM(57434,57446) = ( 57434 × 57446) / 2
LCM(57434,57446) = 3299353564 / 2
LCM(57434,57446) = 1649676782

Least Common Multiple (LCM) of 57434 and 57446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57434 and 57446. First we will calculate the prime factors of 57434 and 57446.

Prime Factorization of 57434

Prime Factorization of 57446

Now multiplying the highest exponent prime factors to calculate the LCM of 57434 and 57446.

LCM(57434,57446) = 2¹ × 13¹ × 47² × 28723¹
LCM(57434,57446) = 1649676782