What is the Least Common Multiple of 57534 and 57544?

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 57534 and 57544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57534 and 57544, than apply into the LCM equation.

GCF(57534,57544) = 2
LCM(57534,57544) = ( 57534 × 57544) / 2
LCM(57534,57544) = 3310736496 / 2
LCM(57534,57544) = 1655368248

Least Common Multiple (LCM) of 57534 and 57544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57534 and 57544. First we will calculate the prime factors of 57534 and 57544.

Prime Factorization of 57534

Prime Factorization of 57544

Now multiplying the highest exponent prime factors to calculate the LCM of 57534 and 57544.

LCM(57534,57544) = 2³ × 3¹ × 43¹ × 223¹ × 7193¹
LCM(57534,57544) = 1655368248