What is the Least Common Multiple of 14608 and 14628?

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 14608 and 14628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14608 and 14628, than apply into the LCM equation.

GCF(14608,14628) = 4
LCM(14608,14628) = ( 14608 × 14628) / 4
LCM(14608,14628) = 213685824 / 4
LCM(14608,14628) = 53421456

Least Common Multiple (LCM) of 14608 and 14628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14608 and 14628. First we will calculate the prime factors of 14608 and 14628.

Prime Factorization of 14608

Prime Factorization of 14628

Now multiplying the highest exponent prime factors to calculate the LCM of 14608 and 14628.

LCM(14608,14628) = 2⁴ × 11¹ × 83¹ × 3¹ × 23¹ × 53¹
LCM(14608,14628) = 53421456