What is the Least Common Multiple of 8009 and 8029?

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 8009 and 8029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8009 and 8029, than apply into the LCM equation.

GCF(8009,8029) = 1
LCM(8009,8029) = ( 8009 × 8029) / 1
LCM(8009,8029) = 64304261 / 1
LCM(8009,8029) = 64304261

Least Common Multiple (LCM) of 8009 and 8029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8009 and 8029. First we will calculate the prime factors of 8009 and 8029.

Prime Factorization of 8009

Prime Factorization of 8029

Now multiplying the highest exponent prime factors to calculate the LCM of 8009 and 8029.

LCM(8009,8029) = 8009¹ × 7¹ × 31¹ × 37¹
LCM(8009,8029) = 64304261