What is the Least Common Multiple of 57008 and 57014?

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 57008 and 57014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57008 and 57014, than apply into the LCM equation.

GCF(57008,57014) = 2
LCM(57008,57014) = ( 57008 × 57014) / 2
LCM(57008,57014) = 3250254112 / 2
LCM(57008,57014) = 1625127056

Least Common Multiple (LCM) of 57008 and 57014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57008 and 57014. First we will calculate the prime factors of 57008 and 57014.

Prime Factorization of 57008

Prime Factorization of 57014

Now multiplying the highest exponent prime factors to calculate the LCM of 57008 and 57014.

LCM(57008,57014) = 2⁴ × 7¹ × 509¹ × 29¹ × 983¹
LCM(57008,57014) = 1625127056