What is the Least Common Multiple of 60114 and 60129?

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 60114 and 60129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60114 and 60129, than apply into the LCM equation.

GCF(60114,60129) = 3
LCM(60114,60129) = ( 60114 × 60129) / 3
LCM(60114,60129) = 3614594706 / 3
LCM(60114,60129) = 1204864902

Least Common Multiple (LCM) of 60114 and 60129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60114 and 60129. First we will calculate the prime factors of 60114 and 60129.

Prime Factorization of 60114

Prime Factorization of 60129

Now multiplying the highest exponent prime factors to calculate the LCM of 60114 and 60129.

LCM(60114,60129) = 2¹ × 3³ × 43¹ × 233¹ × 17¹ × 131¹
LCM(60114,60129) = 1204864902