What is the Least Common Multiple of 34955 and 34959?

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 34955 and 34959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34955 and 34959, than apply into the LCM equation.

GCF(34955,34959) = 1
LCM(34955,34959) = ( 34955 × 34959) / 1
LCM(34955,34959) = 1221991845 / 1
LCM(34955,34959) = 1221991845

Least Common Multiple (LCM) of 34955 and 34959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34955 and 34959. First we will calculate the prime factors of 34955 and 34959.

Prime Factorization of 34955

Prime Factorization of 34959

Now multiplying the highest exponent prime factors to calculate the LCM of 34955 and 34959.

LCM(34955,34959) = 5¹ × 6991¹ × 3¹ × 43¹ × 271¹
LCM(34955,34959) = 1221991845