What is the Least Common Multiple of 14960 and 14975?

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 14960 and 14975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14960 and 14975, than apply into the LCM equation.

GCF(14960,14975) = 5
LCM(14960,14975) = ( 14960 × 14975) / 5
LCM(14960,14975) = 224026000 / 5
LCM(14960,14975) = 44805200

Least Common Multiple (LCM) of 14960 and 14975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14960 and 14975. First we will calculate the prime factors of 14960 and 14975.

Prime Factorization of 14960

Prime Factorization of 14975

Now multiplying the highest exponent prime factors to calculate the LCM of 14960 and 14975.

LCM(14960,14975) = 2⁴ × 5² × 11¹ × 17¹ × 599¹
LCM(14960,14975) = 44805200