What is the Least Common Multiple of 34608 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 34608 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 34608 and 34617, than apply into the LCM equation.

GCF(34608,34617) = 3
LCM(34608,34617) = ( 34608 × 34617) / 3
LCM(34608,34617) = 1198025136 / 3
LCM(34608,34617) = 399341712

Least Common Multiple (LCM) of 34608 and 34617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34608 and 34617. First we will calculate the prime factors of 34608 and 34617.

Prime Factorization of 34608

Prime Factorization of 34617

Now multiplying the highest exponent prime factors to calculate the LCM of 34608 and 34617.

LCM(34608,34617) = 2⁴ × 3¹ × 7¹ × 103¹ × 11¹ × 1049¹
LCM(34608,34617) = 399341712