What is the Least Common Multiple of 56114 and 56129?

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 56114 and 56129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56114 and 56129, than apply into the LCM equation.

GCF(56114,56129) = 1
LCM(56114,56129) = ( 56114 × 56129) / 1
LCM(56114,56129) = 3149622706 / 1
LCM(56114,56129) = 3149622706

Least Common Multiple (LCM) of 56114 and 56129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56114 and 56129. First we will calculate the prime factors of 56114 and 56129.

Prime Factorization of 56114

Prime Factorization of 56129

Now multiplying the highest exponent prime factors to calculate the LCM of 56114 and 56129.

LCM(56114,56129) = 2¹ × 28057¹ × 37² × 41¹
LCM(56114,56129) = 3149622706