What is the Least Common Multiple of 58608 and 58614?

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 58614 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 58614, than apply into the LCM equation.

GCF(58608,58614) = 6
LCM(58608,58614) = ( 58608 × 58614) / 6
LCM(58608,58614) = 3435249312 / 6
LCM(58608,58614) = 572541552

Least Common Multiple (LCM) of 58608 and 58614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58608 and 58614. First we will calculate the prime factors of 58608 and 58614.

Prime Factorization of 58608

Prime Factorization of 58614

Now multiplying the highest exponent prime factors to calculate the LCM of 58608 and 58614.

LCM(58608,58614) = 2⁴ × 3² × 11¹ × 37¹ × 9769¹
LCM(58608,58614) = 572541552