What is the Least Common Multiple of 34916 and 34935?

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 34916 and 34935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34916 and 34935, than apply into the LCM equation.

GCF(34916,34935) = 1
LCM(34916,34935) = ( 34916 × 34935) / 1
LCM(34916,34935) = 1219790460 / 1
LCM(34916,34935) = 1219790460

Least Common Multiple (LCM) of 34916 and 34935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34916 and 34935. First we will calculate the prime factors of 34916 and 34935.

Prime Factorization of 34916

Prime Factorization of 34935

Now multiplying the highest exponent prime factors to calculate the LCM of 34916 and 34935.

LCM(34916,34935) = 2² × 7¹ × 29¹ × 43¹ × 3¹ × 5¹ × 17¹ × 137¹
LCM(34916,34935) = 1219790460