What is the Least Common Multiple of 51111 and 51129?

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 51111 and 51129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51111 and 51129, than apply into the LCM equation.

GCF(51111,51129) = 9
LCM(51111,51129) = ( 51111 × 51129) / 9
LCM(51111,51129) = 2613254319 / 9
LCM(51111,51129) = 290361591

Least Common Multiple (LCM) of 51111 and 51129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51111 and 51129. First we will calculate the prime factors of 51111 and 51129.

Prime Factorization of 51111

Prime Factorization of 51129

Now multiplying the highest exponent prime factors to calculate the LCM of 51111 and 51129.

LCM(51111,51129) = 3⁴ × 631¹ × 13¹ × 19¹ × 23¹
LCM(51111,51129) = 290361591