What is the Least Common Multiple of 61001 and 61005?

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 61001 and 61005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61001 and 61005, than apply into the LCM equation.

GCF(61001,61005) = 1
LCM(61001,61005) = ( 61001 × 61005) / 1
LCM(61001,61005) = 3721366005 / 1
LCM(61001,61005) = 3721366005

Least Common Multiple (LCM) of 61001 and 61005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61001 and 61005. First we will calculate the prime factors of 61001 and 61005.

Prime Factorization of 61001

Prime Factorization of 61005

Now multiplying the highest exponent prime factors to calculate the LCM of 61001 and 61005.

LCM(61001,61005) = 61001¹ × 3¹ × 5¹ × 7² × 83¹
LCM(61001,61005) = 3721366005