What is the Least Common Multiple of 18843 and 18863?

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 18843 and 18863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18843 and 18863, than apply into the LCM equation.

GCF(18843,18863) = 1
LCM(18843,18863) = ( 18843 × 18863) / 1
LCM(18843,18863) = 355435509 / 1
LCM(18843,18863) = 355435509

Least Common Multiple (LCM) of 18843 and 18863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18843 and 18863. First we will calculate the prime factors of 18843 and 18863.

Prime Factorization of 18843

Prime Factorization of 18863

Now multiplying the highest exponent prime factors to calculate the LCM of 18843 and 18863.

LCM(18843,18863) = 3¹ × 11¹ × 571¹ × 13¹ × 1451¹
LCM(18843,18863) = 355435509