What is the Least Common Multiple of 57214 and 57224?

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 57214 and 57224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57214 and 57224, than apply into the LCM equation.

GCF(57214,57224) = 2
LCM(57214,57224) = ( 57214 × 57224) / 2
LCM(57214,57224) = 3274013936 / 2
LCM(57214,57224) = 1637006968

Least Common Multiple (LCM) of 57214 and 57224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57214 and 57224. First we will calculate the prime factors of 57214 and 57224.

Prime Factorization of 57214

Prime Factorization of 57224

Now multiplying the highest exponent prime factors to calculate the LCM of 57214 and 57224.

LCM(57214,57224) = 2³ × 28607¹ × 23¹ × 311¹
LCM(57214,57224) = 1637006968