What is the Least Common Multiple of 57480 and 57498?

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 57480 and 57498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57480 and 57498, than apply into the LCM equation.

GCF(57480,57498) = 6
LCM(57480,57498) = ( 57480 × 57498) / 6
LCM(57480,57498) = 3304985040 / 6
LCM(57480,57498) = 550830840

Least Common Multiple (LCM) of 57480 and 57498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57480 and 57498. First we will calculate the prime factors of 57480 and 57498.

Prime Factorization of 57480

Prime Factorization of 57498

Now multiplying the highest exponent prime factors to calculate the LCM of 57480 and 57498.

LCM(57480,57498) = 2³ × 3¹ × 5¹ × 479¹ × 7¹ × 37²
LCM(57480,57498) = 550830840