What is the Least Common Multiple of 60129 and 60139?

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 60139 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 60139, than apply into the LCM equation.

GCF(60129,60139) = 1
LCM(60129,60139) = ( 60129 × 60139) / 1
LCM(60129,60139) = 3616097931 / 1
LCM(60129,60139) = 3616097931

Least Common Multiple (LCM) of 60129 and 60139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60129 and 60139. First we will calculate the prime factors of 60129 and 60139.

Prime Factorization of 60129

Prime Factorization of 60139

Now multiplying the highest exponent prime factors to calculate the LCM of 60129 and 60139.

LCM(60129,60139) = 3³ × 17¹ × 131¹ × 60139¹
LCM(60129,60139) = 3616097931