What is the Least Common Multiple of 6005 and 6015?

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 6005 and 6015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6005 and 6015, than apply into the LCM equation.

GCF(6005,6015) = 5
LCM(6005,6015) = ( 6005 × 6015) / 5
LCM(6005,6015) = 36120075 / 5
LCM(6005,6015) = 7224015

Least Common Multiple (LCM) of 6005 and 6015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6005 and 6015. First we will calculate the prime factors of 6005 and 6015.

Prime Factorization of 6005

Prime Factorization of 6015

Now multiplying the highest exponent prime factors to calculate the LCM of 6005 and 6015.

LCM(6005,6015) = 5¹ × 1201¹ × 3¹ × 401¹
LCM(6005,6015) = 7224015