What is the Least Common Multiple of 61005 and 61015?

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 61005 and 61015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61005 and 61015, than apply into the LCM equation.

GCF(61005,61015) = 5
LCM(61005,61015) = ( 61005 × 61015) / 5
LCM(61005,61015) = 3722220075 / 5
LCM(61005,61015) = 744444015

Least Common Multiple (LCM) of 61005 and 61015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61005 and 61015. First we will calculate the prime factors of 61005 and 61015.

Prime Factorization of 61005

Prime Factorization of 61015

Now multiplying the highest exponent prime factors to calculate the LCM of 61005 and 61015.

LCM(61005,61015) = 3¹ × 5¹ × 7² × 83¹ × 12203¹
LCM(61005,61015) = 744444015