What is the Least Common Multiple of 23546 and 23552?

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 23546 and 23552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23546 and 23552, than apply into the LCM equation.

GCF(23546,23552) = 2
LCM(23546,23552) = ( 23546 × 23552) / 2
LCM(23546,23552) = 554555392 / 2
LCM(23546,23552) = 277277696

Least Common Multiple (LCM) of 23546 and 23552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23546 and 23552. First we will calculate the prime factors of 23546 and 23552.

Prime Factorization of 23546

Prime Factorization of 23552

Now multiplying the highest exponent prime factors to calculate the LCM of 23546 and 23552.

LCM(23546,23552) = 2¹⁰ × 61¹ × 193¹ × 23¹
LCM(23546,23552) = 277277696