What is the Least Common Multiple of 10005 and 10018?

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 10005 and 10018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10005 and 10018, than apply into the LCM equation.

GCF(10005,10018) = 1
LCM(10005,10018) = ( 10005 × 10018) / 1
LCM(10005,10018) = 100230090 / 1
LCM(10005,10018) = 100230090

Least Common Multiple (LCM) of 10005 and 10018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10005 and 10018. First we will calculate the prime factors of 10005 and 10018.

Prime Factorization of 10005

Prime Factorization of 10018

Now multiplying the highest exponent prime factors to calculate the LCM of 10005 and 10018.

LCM(10005,10018) = 3¹ × 5¹ × 23¹ × 29¹ × 2¹ × 5009¹
LCM(10005,10018) = 100230090