What is the Least Common Multiple of 34608 and 34627?

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 34627 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 34627, than apply into the LCM equation.

GCF(34608,34627) = 1
LCM(34608,34627) = ( 34608 × 34627) / 1
LCM(34608,34627) = 1198371216 / 1
LCM(34608,34627) = 1198371216

Least Common Multiple (LCM) of 34608 and 34627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34608 and 34627. First we will calculate the prime factors of 34608 and 34627.

Prime Factorization of 34608

Prime Factorization of 34627

Now multiplying the highest exponent prime factors to calculate the LCM of 34608 and 34627.

LCM(34608,34627) = 2⁴ × 3¹ × 7¹ × 103¹ × 31¹ × 1117¹
LCM(34608,34627) = 1198371216