What is the Least Common Multiple of 39714 and 39734?

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 39714 and 39734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39714 and 39734, than apply into the LCM equation.

GCF(39714,39734) = 2
LCM(39714,39734) = ( 39714 × 39734) / 2
LCM(39714,39734) = 1577996076 / 2
LCM(39714,39734) = 788998038

Least Common Multiple (LCM) of 39714 and 39734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39714 and 39734. First we will calculate the prime factors of 39714 and 39734.

Prime Factorization of 39714

Prime Factorization of 39734

Now multiplying the highest exponent prime factors to calculate the LCM of 39714 and 39734.

LCM(39714,39734) = 2¹ × 3¹ × 6619¹ × 19867¹
LCM(39714,39734) = 788998038