What is the Least Common Multiple of 35009 and 35029?

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 35009 and 35029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35009 and 35029, than apply into the LCM equation.

GCF(35009,35029) = 1
LCM(35009,35029) = ( 35009 × 35029) / 1
LCM(35009,35029) = 1226330261 / 1
LCM(35009,35029) = 1226330261

Least Common Multiple (LCM) of 35009 and 35029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35009 and 35029. First we will calculate the prime factors of 35009 and 35029.

Prime Factorization of 35009

Prime Factorization of 35029

Now multiplying the highest exponent prime factors to calculate the LCM of 35009 and 35029.

LCM(35009,35029) = 13¹ × 2693¹ × 23¹ × 1523¹
LCM(35009,35029) = 1226330261