What is the Least Common Multiple of 34048 and 34062?

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 34062 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 34062, than apply into the LCM equation.

GCF(34048,34062) = 14
LCM(34048,34062) = ( 34048 × 34062) / 14
LCM(34048,34062) = 1159742976 / 14
LCM(34048,34062) = 82838784

Least Common Multiple (LCM) of 34048 and 34062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34048 and 34062. First we will calculate the prime factors of 34048 and 34062.

Prime Factorization of 34048

Prime Factorization of 34062

Now multiplying the highest exponent prime factors to calculate the LCM of 34048 and 34062.

LCM(34048,34062) = 2⁸ × 7¹ × 19¹ × 3¹ × 811¹
LCM(34048,34062) = 82838784