What is the Least Common Multiple of 40009 and 40029?

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 40009 and 40029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40009 and 40029, than apply into the LCM equation.

GCF(40009,40029) = 1
LCM(40009,40029) = ( 40009 × 40029) / 1
LCM(40009,40029) = 1601520261 / 1
LCM(40009,40029) = 1601520261

Least Common Multiple (LCM) of 40009 and 40029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40009 and 40029. First we will calculate the prime factors of 40009 and 40029.

Prime Factorization of 40009

Prime Factorization of 40029

Now multiplying the highest exponent prime factors to calculate the LCM of 40009 and 40029.

LCM(40009,40029) = 40009¹ × 3¹ × 11¹ × 1213¹
LCM(40009,40029) = 1601520261