What is the Least Common Multiple of 61742 and 61748?

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 61742 and 61748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61742 and 61748, than apply into the LCM equation.

GCF(61742,61748) = 2
LCM(61742,61748) = ( 61742 × 61748) / 2
LCM(61742,61748) = 3812445016 / 2
LCM(61742,61748) = 1906222508

Least Common Multiple (LCM) of 61742 and 61748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61742 and 61748. First we will calculate the prime factors of 61742 and 61748.

Prime Factorization of 61742

Prime Factorization of 61748

Now multiplying the highest exponent prime factors to calculate the LCM of 61742 and 61748.

LCM(61742,61748) = 2² × 30871¹ × 43¹ × 359¹
LCM(61742,61748) = 1906222508