What is the Least Common Multiple of 60129 and 60146?

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 60129 and 60146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60129 and 60146, than apply into the LCM equation.

GCF(60129,60146) = 17
LCM(60129,60146) = ( 60129 × 60146) / 17
LCM(60129,60146) = 3616518834 / 17
LCM(60129,60146) = 212736402

Least Common Multiple (LCM) of 60129 and 60146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60129 and 60146. First we will calculate the prime factors of 60129 and 60146.

Prime Factorization of 60129

Prime Factorization of 60146

Now multiplying the highest exponent prime factors to calculate the LCM of 60129 and 60146.

LCM(60129,60146) = 3³ × 17¹ × 131¹ × 2¹ × 29¹ × 61¹
LCM(60129,60146) = 212736402