What is the Least Common Multiple of 23514 and 23533?

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 23514 and 23533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23514 and 23533, than apply into the LCM equation.

GCF(23514,23533) = 1
LCM(23514,23533) = ( 23514 × 23533) / 1
LCM(23514,23533) = 553354962 / 1
LCM(23514,23533) = 553354962

Least Common Multiple (LCM) of 23514 and 23533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23514 and 23533. First we will calculate the prime factors of 23514 and 23533.

Prime Factorization of 23514

Prime Factorization of 23533

Now multiplying the highest exponent prime factors to calculate the LCM of 23514 and 23533.

LCM(23514,23533) = 2¹ × 3¹ × 3919¹ × 101¹ × 233¹
LCM(23514,23533) = 553354962