What is the Least Common Multiple of 34278 and 34288?

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 34278 and 34288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34278 and 34288, than apply into the LCM equation.

GCF(34278,34288) = 2
LCM(34278,34288) = ( 34278 × 34288) / 2
LCM(34278,34288) = 1175324064 / 2
LCM(34278,34288) = 587662032

Least Common Multiple (LCM) of 34278 and 34288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34278 and 34288. First we will calculate the prime factors of 34278 and 34288.

Prime Factorization of 34278

Prime Factorization of 34288

Now multiplying the highest exponent prime factors to calculate the LCM of 34278 and 34288.

LCM(34278,34288) = 2⁴ × 3¹ × 29¹ × 197¹ × 2143¹
LCM(34278,34288) = 587662032