What is the Least Common Multiple of 57123 and 57129?

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 57123 and 57129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57123 and 57129, than apply into the LCM equation.

GCF(57123,57129) = 3
LCM(57123,57129) = ( 57123 × 57129) / 3
LCM(57123,57129) = 3263379867 / 3
LCM(57123,57129) = 1087793289

Least Common Multiple (LCM) of 57123 and 57129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57123 and 57129. First we will calculate the prime factors of 57123 and 57129.

Prime Factorization of 57123

Prime Factorization of 57129

Now multiplying the highest exponent prime factors to calculate the LCM of 57123 and 57129.

LCM(57123,57129) = 3² × 11¹ × 577¹ × 137¹ × 139¹
LCM(57123,57129) = 1087793289