What is the Least Common Multiple of 54112 and 54129?

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 54112 and 54129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54112 and 54129, than apply into the LCM equation.

GCF(54112,54129) = 1
LCM(54112,54129) = ( 54112 × 54129) / 1
LCM(54112,54129) = 2929028448 / 1
LCM(54112,54129) = 2929028448

Least Common Multiple (LCM) of 54112 and 54129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54112 and 54129. First we will calculate the prime factors of 54112 and 54129.

Prime Factorization of 54112

Prime Factorization of 54129

Now multiplying the highest exponent prime factors to calculate the LCM of 54112 and 54129.

LCM(54112,54129) = 2⁵ × 19¹ × 89¹ × 3¹ × 18043¹
LCM(54112,54129) = 2929028448