What is the Least Common Multiple of 14990 and 14999?

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 14990 and 14999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14990 and 14999, than apply into the LCM equation.

GCF(14990,14999) = 1
LCM(14990,14999) = ( 14990 × 14999) / 1
LCM(14990,14999) = 224835010 / 1
LCM(14990,14999) = 224835010

Least Common Multiple (LCM) of 14990 and 14999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14990 and 14999. First we will calculate the prime factors of 14990 and 14999.

Prime Factorization of 14990

Prime Factorization of 14999

Now multiplying the highest exponent prime factors to calculate the LCM of 14990 and 14999.

LCM(14990,14999) = 2¹ × 5¹ × 1499¹ × 53¹ × 283¹
LCM(14990,14999) = 224835010