What is the Least Common Multiple of 18288 and 18295?

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 18288 and 18295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18288 and 18295, than apply into the LCM equation.

GCF(18288,18295) = 1
LCM(18288,18295) = ( 18288 × 18295) / 1
LCM(18288,18295) = 334578960 / 1
LCM(18288,18295) = 334578960

Least Common Multiple (LCM) of 18288 and 18295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18288 and 18295. First we will calculate the prime factors of 18288 and 18295.

Prime Factorization of 18288

Prime Factorization of 18295

Now multiplying the highest exponent prime factors to calculate the LCM of 18288 and 18295.

LCM(18288,18295) = 2⁴ × 3² × 127¹ × 5¹ × 3659¹
LCM(18288,18295) = 334578960