What is the Least Common Multiple of 34048 and 34068?

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 34048 and 34068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34048 and 34068, than apply into the LCM equation.

GCF(34048,34068) = 4
LCM(34048,34068) = ( 34048 × 34068) / 4
LCM(34048,34068) = 1159947264 / 4
LCM(34048,34068) = 289986816

Least Common Multiple (LCM) of 34048 and 34068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34048 and 34068. First we will calculate the prime factors of 34048 and 34068.

Prime Factorization of 34048

Prime Factorization of 34068

Now multiplying the highest exponent prime factors to calculate the LCM of 34048 and 34068.

LCM(34048,34068) = 2⁸ × 7¹ × 19¹ × 3¹ × 17¹ × 167¹
LCM(34048,34068) = 289986816