What is the Least Common Multiple of 34698 and 34716?

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 34698 and 34716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34698 and 34716, than apply into the LCM equation.

GCF(34698,34716) = 6
LCM(34698,34716) = ( 34698 × 34716) / 6
LCM(34698,34716) = 1204575768 / 6
LCM(34698,34716) = 200762628

Least Common Multiple (LCM) of 34698 and 34716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34698 and 34716. First we will calculate the prime factors of 34698 and 34716.

Prime Factorization of 34698

Prime Factorization of 34716

Now multiplying the highest exponent prime factors to calculate the LCM of 34698 and 34716.

LCM(34698,34716) = 2² × 3¹ × 5783¹ × 11¹ × 263¹
LCM(34698,34716) = 200762628