What is the Least Common Multiple of 3843 and 3863?

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 3843 and 3863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3843 and 3863, than apply into the LCM equation.

GCF(3843,3863) = 1
LCM(3843,3863) = ( 3843 × 3863) / 1
LCM(3843,3863) = 14845509 / 1
LCM(3843,3863) = 14845509

Least Common Multiple (LCM) of 3843 and 3863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3843 and 3863. First we will calculate the prime factors of 3843 and 3863.

Prime Factorization of 3843

Prime Factorization of 3863

Now multiplying the highest exponent prime factors to calculate the LCM of 3843 and 3863.

LCM(3843,3863) = 3² × 7¹ × 61¹ × 3863¹
LCM(3843,3863) = 14845509