What is the Least Common Multiple of 23009 and 23013?

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 23009 and 23013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23009 and 23013, than apply into the LCM equation.

GCF(23009,23013) = 1
LCM(23009,23013) = ( 23009 × 23013) / 1
LCM(23009,23013) = 529506117 / 1
LCM(23009,23013) = 529506117

Least Common Multiple (LCM) of 23009 and 23013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23009 and 23013. First we will calculate the prime factors of 23009 and 23013.

Prime Factorization of 23009

Prime Factorization of 23013

Now multiplying the highest exponent prime factors to calculate the LCM of 23009 and 23013.

LCM(23009,23013) = 7¹ × 19¹ × 173¹ × 3² × 2557¹
LCM(23009,23013) = 529506117