What is the Least Common Multiple of 23509 and 23526?

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 23509 and 23526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23509 and 23526, than apply into the LCM equation.

GCF(23509,23526) = 1
LCM(23509,23526) = ( 23509 × 23526) / 1
LCM(23509,23526) = 553072734 / 1
LCM(23509,23526) = 553072734

Least Common Multiple (LCM) of 23509 and 23526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23509 and 23526. First we will calculate the prime factors of 23509 and 23526.

Prime Factorization of 23509

Prime Factorization of 23526

Now multiplying the highest exponent prime factors to calculate the LCM of 23509 and 23526.

LCM(23509,23526) = 23509¹ × 2¹ × 3² × 1307¹
LCM(23509,23526) = 553072734