What is the Least Common Multiple of 34935 and 34949?

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 34935 and 34949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34935 and 34949, than apply into the LCM equation.

GCF(34935,34949) = 1
LCM(34935,34949) = ( 34935 × 34949) / 1
LCM(34935,34949) = 1220943315 / 1
LCM(34935,34949) = 1220943315

Least Common Multiple (LCM) of 34935 and 34949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34935 and 34949. First we will calculate the prime factors of 34935 and 34949.

Prime Factorization of 34935

Prime Factorization of 34949

Now multiplying the highest exponent prime factors to calculate the LCM of 34935 and 34949.

LCM(34935,34949) = 3¹ × 5¹ × 17¹ × 137¹ × 34949¹
LCM(34935,34949) = 1220943315