What is the Least Common Multiple of 23002 and 23009?

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 23002 and 23009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23002 and 23009, than apply into the LCM equation.

GCF(23002,23009) = 7
LCM(23002,23009) = ( 23002 × 23009) / 7
LCM(23002,23009) = 529253018 / 7
LCM(23002,23009) = 75607574

Least Common Multiple (LCM) of 23002 and 23009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23002 and 23009. First we will calculate the prime factors of 23002 and 23009.

Prime Factorization of 23002

Prime Factorization of 23009

Now multiplying the highest exponent prime factors to calculate the LCM of 23002 and 23009.

LCM(23002,23009) = 2¹ × 7¹ × 31¹ × 53¹ × 19¹ × 173¹
LCM(23002,23009) = 75607574