What is the Least Common Multiple of 58905 and 58912?

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 58905 and 58912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58905 and 58912, than apply into the LCM equation.

GCF(58905,58912) = 7
LCM(58905,58912) = ( 58905 × 58912) / 7
LCM(58905,58912) = 3470211360 / 7
LCM(58905,58912) = 495744480

Least Common Multiple (LCM) of 58905 and 58912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58905 and 58912. First we will calculate the prime factors of 58905 and 58912.

Prime Factorization of 58905

Prime Factorization of 58912

Now multiplying the highest exponent prime factors to calculate the LCM of 58905 and 58912.

LCM(58905,58912) = 3² × 5¹ × 7¹ × 11¹ × 17¹ × 2⁵ × 263¹
LCM(58905,58912) = 495744480