What is the Least Common Multiple of 57498 and 57517?

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 57498 and 57517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57498 and 57517, than apply into the LCM equation.

GCF(57498,57517) = 1
LCM(57498,57517) = ( 57498 × 57517) / 1
LCM(57498,57517) = 3307112466 / 1
LCM(57498,57517) = 3307112466

Least Common Multiple (LCM) of 57498 and 57517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57498 and 57517. First we will calculate the prime factors of 57498 and 57517.

Prime Factorization of 57498

Prime Factorization of 57517

Now multiplying the highest exponent prime factors to calculate the LCM of 57498 and 57517.

LCM(57498,57517) = 2¹ × 3¹ × 7¹ × 37² × 113¹ × 509¹
LCM(57498,57517) = 3307112466