What is the Least Common Multiple of 58890 and 58905?

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 58890 and 58905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58890 and 58905, than apply into the LCM equation.

GCF(58890,58905) = 15
LCM(58890,58905) = ( 58890 × 58905) / 15
LCM(58890,58905) = 3468915450 / 15
LCM(58890,58905) = 231261030

Least Common Multiple (LCM) of 58890 and 58905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58890 and 58905. First we will calculate the prime factors of 58890 and 58905.

Prime Factorization of 58890

Prime Factorization of 58905

Now multiplying the highest exponent prime factors to calculate the LCM of 58890 and 58905.

LCM(58890,58905) = 2¹ × 3² × 5¹ × 13¹ × 151¹ × 7¹ × 11¹ × 17¹
LCM(58890,58905) = 231261030