What is the Least Common Multiple of 21509 and 21523?

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 21509 and 21523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21509 and 21523, than apply into the LCM equation.

GCF(21509,21523) = 1
LCM(21509,21523) = ( 21509 × 21523) / 1
LCM(21509,21523) = 462938207 / 1
LCM(21509,21523) = 462938207

Least Common Multiple (LCM) of 21509 and 21523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21509 and 21523. First we will calculate the prime factors of 21509 and 21523.

Prime Factorization of 21509

Prime Factorization of 21523

Now multiplying the highest exponent prime factors to calculate the LCM of 21509 and 21523.

LCM(21509,21523) = 137¹ × 157¹ × 21523¹
LCM(21509,21523) = 462938207