What is the Least Common Multiple of 18280 and 18288?

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 18280 and 18288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18280 and 18288, than apply into the LCM equation.

GCF(18280,18288) = 8
LCM(18280,18288) = ( 18280 × 18288) / 8
LCM(18280,18288) = 334304640 / 8
LCM(18280,18288) = 41788080

Least Common Multiple (LCM) of 18280 and 18288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18280 and 18288. First we will calculate the prime factors of 18280 and 18288.

Prime Factorization of 18280

Prime Factorization of 18288

Now multiplying the highest exponent prime factors to calculate the LCM of 18280 and 18288.

LCM(18280,18288) = 2⁴ × 5¹ × 457¹ × 3² × 127¹
LCM(18280,18288) = 41788080