What is the Least Common Multiple of 61722 and 61742?

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 61722 and 61742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61722 and 61742, than apply into the LCM equation.

GCF(61722,61742) = 2
LCM(61722,61742) = ( 61722 × 61742) / 2
LCM(61722,61742) = 3810839724 / 2
LCM(61722,61742) = 1905419862

Least Common Multiple (LCM) of 61722 and 61742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61722 and 61742. First we will calculate the prime factors of 61722 and 61742.

Prime Factorization of 61722

Prime Factorization of 61742

Now multiplying the highest exponent prime factors to calculate the LCM of 61722 and 61742.

LCM(61722,61742) = 2¹ × 3⁵ × 127¹ × 30871¹
LCM(61722,61742) = 1905419862