What is the Least Common Multiple of 34044 and 34048?

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 34044 and 34048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34044 and 34048, than apply into the LCM equation.

GCF(34044,34048) = 4
LCM(34044,34048) = ( 34044 × 34048) / 4
LCM(34044,34048) = 1159130112 / 4
LCM(34044,34048) = 289782528

Least Common Multiple (LCM) of 34044 and 34048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34044 and 34048. First we will calculate the prime factors of 34044 and 34048.

Prime Factorization of 34044

Prime Factorization of 34048

Now multiplying the highest exponent prime factors to calculate the LCM of 34044 and 34048.

LCM(34044,34048) = 2⁸ × 3¹ × 2837¹ × 7¹ × 19¹
LCM(34044,34048) = 289782528