What is the Least Common Multiple of 18519 and 18533?

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 18519 and 18533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18519 and 18533, than apply into the LCM equation.

GCF(18519,18533) = 1
LCM(18519,18533) = ( 18519 × 18533) / 1
LCM(18519,18533) = 343212627 / 1
LCM(18519,18533) = 343212627

Least Common Multiple (LCM) of 18519 and 18533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18519 and 18533. First we will calculate the prime factors of 18519 and 18533.

Prime Factorization of 18519

Prime Factorization of 18533

Now multiplying the highest exponent prime factors to calculate the LCM of 18519 and 18533.

LCM(18519,18533) = 3¹ × 6173¹ × 43¹ × 431¹
LCM(18519,18533) = 343212627