What is the Least Common Multiple of 18270 and 18280?

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 18270 and 18280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18270 and 18280, than apply into the LCM equation.

GCF(18270,18280) = 10
LCM(18270,18280) = ( 18270 × 18280) / 10
LCM(18270,18280) = 333975600 / 10
LCM(18270,18280) = 33397560

Least Common Multiple (LCM) of 18270 and 18280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18270 and 18280. First we will calculate the prime factors of 18270 and 18280.

Prime Factorization of 18270

Prime Factorization of 18280

Now multiplying the highest exponent prime factors to calculate the LCM of 18270 and 18280.

LCM(18270,18280) = 2³ × 3² × 5¹ × 7¹ × 29¹ × 457¹
LCM(18270,18280) = 33397560