What is the Least Common Multiple of 16005 and 16015?

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 16005 and 16015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16005 and 16015, than apply into the LCM equation.

GCF(16005,16015) = 5
LCM(16005,16015) = ( 16005 × 16015) / 5
LCM(16005,16015) = 256320075 / 5
LCM(16005,16015) = 51264015

Least Common Multiple (LCM) of 16005 and 16015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16005 and 16015. First we will calculate the prime factors of 16005 and 16015.

Prime Factorization of 16005

Prime Factorization of 16015

Now multiplying the highest exponent prime factors to calculate the LCM of 16005 and 16015.

LCM(16005,16015) = 3¹ × 5¹ × 11¹ × 97¹ × 3203¹
LCM(16005,16015) = 51264015