What is the Least Common Multiple of 57412 and 57430?

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 57412 and 57430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57412 and 57430, than apply into the LCM equation.

GCF(57412,57430) = 2
LCM(57412,57430) = ( 57412 × 57430) / 2
LCM(57412,57430) = 3297171160 / 2
LCM(57412,57430) = 1648585580

Least Common Multiple (LCM) of 57412 and 57430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57412 and 57430. First we will calculate the prime factors of 57412 and 57430.

Prime Factorization of 57412

Prime Factorization of 57430

Now multiplying the highest exponent prime factors to calculate the LCM of 57412 and 57430.

LCM(57412,57430) = 2² × 31¹ × 463¹ × 5¹ × 5743¹
LCM(57412,57430) = 1648585580