What is the Least Common Multiple of 61039 and 61059?

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 61039 and 61059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61039 and 61059, than apply into the LCM equation.

GCF(61039,61059) = 1
LCM(61039,61059) = ( 61039 × 61059) / 1
LCM(61039,61059) = 3726980301 / 1
LCM(61039,61059) = 3726980301

Least Common Multiple (LCM) of 61039 and 61059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61039 and 61059. First we will calculate the prime factors of 61039 and 61059.

Prime Factorization of 61039

Prime Factorization of 61059

Now multiplying the highest exponent prime factors to calculate the LCM of 61039 and 61059.

LCM(61039,61059) = 11¹ × 31¹ × 179¹ × 3¹ × 20353¹
LCM(61039,61059) = 3726980301