What is the Least Common Multiple of 57568 and 57588?

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 57568 and 57588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57568 and 57588, than apply into the LCM equation.

GCF(57568,57588) = 4
LCM(57568,57588) = ( 57568 × 57588) / 4
LCM(57568,57588) = 3315225984 / 4
LCM(57568,57588) = 828806496

Least Common Multiple (LCM) of 57568 and 57588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57568 and 57588. First we will calculate the prime factors of 57568 and 57588.

Prime Factorization of 57568

Prime Factorization of 57588

Now multiplying the highest exponent prime factors to calculate the LCM of 57568 and 57588.

LCM(57568,57588) = 2⁵ × 7¹ × 257¹ × 3¹ × 4799¹
LCM(57568,57588) = 828806496