What is the Least Common Multiple of 57814 and 57825?

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 57814 and 57825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57814 and 57825, than apply into the LCM equation.

GCF(57814,57825) = 1
LCM(57814,57825) = ( 57814 × 57825) / 1
LCM(57814,57825) = 3343094550 / 1
LCM(57814,57825) = 3343094550

Least Common Multiple (LCM) of 57814 and 57825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57814 and 57825. First we will calculate the prime factors of 57814 and 57825.

Prime Factorization of 57814

Prime Factorization of 57825

Now multiplying the highest exponent prime factors to calculate the LCM of 57814 and 57825.

LCM(57814,57825) = 2¹ × 137¹ × 211¹ × 3² × 5² × 257¹
LCM(57814,57825) = 3343094550