What is the Least Common Multiple of 23544 and 23564?

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 23544 and 23564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23544 and 23564, than apply into the LCM equation.

GCF(23544,23564) = 4
LCM(23544,23564) = ( 23544 × 23564) / 4
LCM(23544,23564) = 554790816 / 4
LCM(23544,23564) = 138697704

Least Common Multiple (LCM) of 23544 and 23564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23544 and 23564. First we will calculate the prime factors of 23544 and 23564.

Prime Factorization of 23544

Prime Factorization of 23564

Now multiplying the highest exponent prime factors to calculate the LCM of 23544 and 23564.

LCM(23544,23564) = 2³ × 3³ × 109¹ × 43¹ × 137¹
LCM(23544,23564) = 138697704