What is the Least Common Multiple of 34959 and 34974?

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 34959 and 34974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34959 and 34974, than apply into the LCM equation.

GCF(34959,34974) = 3
LCM(34959,34974) = ( 34959 × 34974) / 3
LCM(34959,34974) = 1222656066 / 3
LCM(34959,34974) = 407552022

Least Common Multiple (LCM) of 34959 and 34974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34959 and 34974. First we will calculate the prime factors of 34959 and 34974.

Prime Factorization of 34959

Prime Factorization of 34974

Now multiplying the highest exponent prime factors to calculate the LCM of 34959 and 34974.

LCM(34959,34974) = 3² × 43¹ × 271¹ × 2¹ × 29¹ × 67¹
LCM(34959,34974) = 407552022