What is the Least Common Multiple of 14875 and 14892?

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 14875 and 14892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14875 and 14892, than apply into the LCM equation.

GCF(14875,14892) = 17
LCM(14875,14892) = ( 14875 × 14892) / 17
LCM(14875,14892) = 221518500 / 17
LCM(14875,14892) = 13030500

Least Common Multiple (LCM) of 14875 and 14892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14875 and 14892. First we will calculate the prime factors of 14875 and 14892.

Prime Factorization of 14875

Prime Factorization of 14892

Now multiplying the highest exponent prime factors to calculate the LCM of 14875 and 14892.

LCM(14875,14892) = 5³ × 7¹ × 17¹ × 2² × 3¹ × 73¹
LCM(14875,14892) = 13030500