What is the Least Common Multiple of 18628 and 18641?

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 18628 and 18641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18628 and 18641, than apply into the LCM equation.

GCF(18628,18641) = 1
LCM(18628,18641) = ( 18628 × 18641) / 1
LCM(18628,18641) = 347244548 / 1
LCM(18628,18641) = 347244548

Least Common Multiple (LCM) of 18628 and 18641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18628 and 18641. First we will calculate the prime factors of 18628 and 18641.

Prime Factorization of 18628

Prime Factorization of 18641

Now multiplying the highest exponent prime factors to calculate the LCM of 18628 and 18641.

LCM(18628,18641) = 2² × 4657¹ × 7¹ × 2663¹
LCM(18628,18641) = 347244548