What is the Least Common Multiple of 57514 and 57534?

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 57514 and 57534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57514 and 57534, than apply into the LCM equation.

GCF(57514,57534) = 2
LCM(57514,57534) = ( 57514 × 57534) / 2
LCM(57514,57534) = 3309010476 / 2
LCM(57514,57534) = 1654505238

Least Common Multiple (LCM) of 57514 and 57534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57514 and 57534. First we will calculate the prime factors of 57514 and 57534.

Prime Factorization of 57514

Prime Factorization of 57534

Now multiplying the highest exponent prime factors to calculate the LCM of 57514 and 57534.

LCM(57514,57534) = 2¹ × 149¹ × 193¹ × 3¹ × 43¹ × 223¹
LCM(57514,57534) = 1654505238