What is the Least Common Multiple of 23042 and 23054?

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 23042 and 23054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23042 and 23054, than apply into the LCM equation.

GCF(23042,23054) = 2
LCM(23042,23054) = ( 23042 × 23054) / 2
LCM(23042,23054) = 531210268 / 2
LCM(23042,23054) = 265605134

Least Common Multiple (LCM) of 23042 and 23054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23042 and 23054. First we will calculate the prime factors of 23042 and 23054.

Prime Factorization of 23042

Prime Factorization of 23054

Now multiplying the highest exponent prime factors to calculate the LCM of 23042 and 23054.

LCM(23042,23054) = 2¹ × 41¹ × 281¹ × 11527¹
LCM(23042,23054) = 265605134