What is the Least Common Multiple of 14945 and 14960?

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 14945 and 14960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14945 and 14960, than apply into the LCM equation.

GCF(14945,14960) = 5
LCM(14945,14960) = ( 14945 × 14960) / 5
LCM(14945,14960) = 223577200 / 5
LCM(14945,14960) = 44715440

Least Common Multiple (LCM) of 14945 and 14960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14945 and 14960. First we will calculate the prime factors of 14945 and 14960.

Prime Factorization of 14945

Prime Factorization of 14960

Now multiplying the highest exponent prime factors to calculate the LCM of 14945 and 14960.

LCM(14945,14960) = 5¹ × 7² × 61¹ × 2⁴ × 11¹ × 17¹
LCM(14945,14960) = 44715440