What is the Least Common Multiple of 18546 and 18565?

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 18546 and 18565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18546 and 18565, than apply into the LCM equation.

GCF(18546,18565) = 1
LCM(18546,18565) = ( 18546 × 18565) / 1
LCM(18546,18565) = 344306490 / 1
LCM(18546,18565) = 344306490

Least Common Multiple (LCM) of 18546 and 18565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18546 and 18565. First we will calculate the prime factors of 18546 and 18565.

Prime Factorization of 18546

Prime Factorization of 18565

Now multiplying the highest exponent prime factors to calculate the LCM of 18546 and 18565.

LCM(18546,18565) = 2¹ × 3¹ × 11¹ × 281¹ × 5¹ × 47¹ × 79¹
LCM(18546,18565) = 344306490