What is the Least Common Multiple of 57808 and 57814?

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 57808 and 57814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57808 and 57814, than apply into the LCM equation.

GCF(57808,57814) = 2
LCM(57808,57814) = ( 57808 × 57814) / 2
LCM(57808,57814) = 3342111712 / 2
LCM(57808,57814) = 1671055856

Least Common Multiple (LCM) of 57808 and 57814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57808 and 57814. First we will calculate the prime factors of 57808 and 57814.

Prime Factorization of 57808

Prime Factorization of 57814

Now multiplying the highest exponent prime factors to calculate the LCM of 57808 and 57814.

LCM(57808,57814) = 2⁴ × 3613¹ × 137¹ × 211¹
LCM(57808,57814) = 1671055856