What is the Least Common Multiple of 34704 and 34714?

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 34704 and 34714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34704 and 34714, than apply into the LCM equation.

GCF(34704,34714) = 2
LCM(34704,34714) = ( 34704 × 34714) / 2
LCM(34704,34714) = 1204714656 / 2
LCM(34704,34714) = 602357328

Least Common Multiple (LCM) of 34704 and 34714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34704 and 34714. First we will calculate the prime factors of 34704 and 34714.

Prime Factorization of 34704

Prime Factorization of 34714

Now multiplying the highest exponent prime factors to calculate the LCM of 34704 and 34714.

LCM(34704,34714) = 2⁴ × 3² × 241¹ × 17¹ × 1021¹
LCM(34704,34714) = 602357328