What is the Least Common Multiple of 39734 and 39742?

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 39734 and 39742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39734 and 39742, than apply into the LCM equation.

GCF(39734,39742) = 2
LCM(39734,39742) = ( 39734 × 39742) / 2
LCM(39734,39742) = 1579108628 / 2
LCM(39734,39742) = 789554314

Least Common Multiple (LCM) of 39734 and 39742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39734 and 39742. First we will calculate the prime factors of 39734 and 39742.

Prime Factorization of 39734

Prime Factorization of 39742

Now multiplying the highest exponent prime factors to calculate the LCM of 39734 and 39742.

LCM(39734,39742) = 2¹ × 19867¹ × 31¹ × 641¹
LCM(39734,39742) = 789554314