What is the Least Common Multiple of 14993 and 15001?

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 14993 and 15001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14993 and 15001, than apply into the LCM equation.

GCF(14993,15001) = 1
LCM(14993,15001) = ( 14993 × 15001) / 1
LCM(14993,15001) = 224909993 / 1
LCM(14993,15001) = 224909993

Least Common Multiple (LCM) of 14993 and 15001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14993 and 15001. First we will calculate the prime factors of 14993 and 15001.

Prime Factorization of 14993

Prime Factorization of 15001

Now multiplying the highest exponent prime factors to calculate the LCM of 14993 and 15001.

LCM(14993,15001) = 11¹ × 29¹ × 47¹ × 7¹ × 2143¹
LCM(14993,15001) = 224909993