What is the Least Common Multiple of 57544 and 57562?

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 57544 and 57562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57544 and 57562, than apply into the LCM equation.

GCF(57544,57562) = 2
LCM(57544,57562) = ( 57544 × 57562) / 2
LCM(57544,57562) = 3312347728 / 2
LCM(57544,57562) = 1656173864

Least Common Multiple (LCM) of 57544 and 57562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57544 and 57562. First we will calculate the prime factors of 57544 and 57562.

Prime Factorization of 57544

Prime Factorization of 57562

Now multiplying the highest exponent prime factors to calculate the LCM of 57544 and 57562.

LCM(57544,57562) = 2³ × 7193¹ × 17¹ × 1693¹
LCM(57544,57562) = 1656173864