What is the Least Common Multiple of 34278 and 34292?

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 34292 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 34292, than apply into the LCM equation.

GCF(34278,34292) = 2
LCM(34278,34292) = ( 34278 × 34292) / 2
LCM(34278,34292) = 1175461176 / 2
LCM(34278,34292) = 587730588

Least Common Multiple (LCM) of 34278 and 34292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34278 and 34292. First we will calculate the prime factors of 34278 and 34292.

Prime Factorization of 34278

Prime Factorization of 34292

Now multiplying the highest exponent prime factors to calculate the LCM of 34278 and 34292.

LCM(34278,34292) = 2² × 3¹ × 29¹ × 197¹ × 8573¹
LCM(34278,34292) = 587730588