What is the Least Common Multiple of 18810 and 18818?

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 18810 and 18818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18810 and 18818, than apply into the LCM equation.

GCF(18810,18818) = 2
LCM(18810,18818) = ( 18810 × 18818) / 2
LCM(18810,18818) = 353966580 / 2
LCM(18810,18818) = 176983290

Least Common Multiple (LCM) of 18810 and 18818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18810 and 18818. First we will calculate the prime factors of 18810 and 18818.

Prime Factorization of 18810

Prime Factorization of 18818

Now multiplying the highest exponent prime factors to calculate the LCM of 18810 and 18818.

LCM(18810,18818) = 2¹ × 3² × 5¹ × 11¹ × 19¹ × 97²
LCM(18810,18818) = 176983290