What is the Least Common Multiple of 58608 and 58626?

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 58608 and 58626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58608 and 58626, than apply into the LCM equation.

GCF(58608,58626) = 18
LCM(58608,58626) = ( 58608 × 58626) / 18
LCM(58608,58626) = 3435952608 / 18
LCM(58608,58626) = 190886256

Least Common Multiple (LCM) of 58608 and 58626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58608 and 58626. First we will calculate the prime factors of 58608 and 58626.

Prime Factorization of 58608

Prime Factorization of 58626

Now multiplying the highest exponent prime factors to calculate the LCM of 58608 and 58626.

LCM(58608,58626) = 2⁴ × 3² × 11¹ × 37¹ × 3257¹
LCM(58608,58626) = 190886256