What is the Least Common Multiple of 23428 and 23441?

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 23428 and 23441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23428 and 23441, than apply into the LCM equation.

GCF(23428,23441) = 1
LCM(23428,23441) = ( 23428 × 23441) / 1
LCM(23428,23441) = 549175748 / 1
LCM(23428,23441) = 549175748

Least Common Multiple (LCM) of 23428 and 23441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23428 and 23441. First we will calculate the prime factors of 23428 and 23441.

Prime Factorization of 23428

Prime Factorization of 23441

Now multiplying the highest exponent prime factors to calculate the LCM of 23428 and 23441.

LCM(23428,23441) = 2² × 5857¹ × 11¹ × 2131¹
LCM(23428,23441) = 549175748