What is the Least Common Multiple of 14975 and 14985?

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 14975 and 14985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14975 and 14985, than apply into the LCM equation.

GCF(14975,14985) = 5
LCM(14975,14985) = ( 14975 × 14985) / 5
LCM(14975,14985) = 224400375 / 5
LCM(14975,14985) = 44880075

Least Common Multiple (LCM) of 14975 and 14985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14975 and 14985. First we will calculate the prime factors of 14975 and 14985.

Prime Factorization of 14975

Prime Factorization of 14985

Now multiplying the highest exponent prime factors to calculate the LCM of 14975 and 14985.

LCM(14975,14985) = 5² × 599¹ × 3⁴ × 37¹
LCM(14975,14985) = 44880075