What is the Least Common Multiple of 34716 and 34734?

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 34716 and 34734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34716 and 34734, than apply into the LCM equation.

GCF(34716,34734) = 6
LCM(34716,34734) = ( 34716 × 34734) / 6
LCM(34716,34734) = 1205825544 / 6
LCM(34716,34734) = 200970924

Least Common Multiple (LCM) of 34716 and 34734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34716 and 34734. First we will calculate the prime factors of 34716 and 34734.

Prime Factorization of 34716

Prime Factorization of 34734

Now multiplying the highest exponent prime factors to calculate the LCM of 34716 and 34734.

LCM(34716,34734) = 2² × 3¹ × 11¹ × 263¹ × 7¹ × 827¹
LCM(34716,34734) = 200970924