What is the Least Common Multiple of 34601 and 34617?

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 34601 and 34617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34601 and 34617, than apply into the LCM equation.

GCF(34601,34617) = 1
LCM(34601,34617) = ( 34601 × 34617) / 1
LCM(34601,34617) = 1197782817 / 1
LCM(34601,34617) = 1197782817

Least Common Multiple (LCM) of 34601 and 34617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34601 and 34617. First we will calculate the prime factors of 34601 and 34617.

Prime Factorization of 34601

Prime Factorization of 34617

Now multiplying the highest exponent prime factors to calculate the LCM of 34601 and 34617.

LCM(34601,34617) = 7¹ × 4943¹ × 3¹ × 11¹ × 1049¹
LCM(34601,34617) = 1197782817