What is the Least Common Multiple of 14844 and 14864?

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 14844 and 14864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14844 and 14864, than apply into the LCM equation.

GCF(14844,14864) = 4
LCM(14844,14864) = ( 14844 × 14864) / 4
LCM(14844,14864) = 220641216 / 4
LCM(14844,14864) = 55160304

Least Common Multiple (LCM) of 14844 and 14864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14844 and 14864. First we will calculate the prime factors of 14844 and 14864.

Prime Factorization of 14844

Prime Factorization of 14864

Now multiplying the highest exponent prime factors to calculate the LCM of 14844 and 14864.

LCM(14844,14864) = 2⁴ × 3¹ × 1237¹ × 929¹
LCM(14844,14864) = 55160304