What is the Least Common Multiple of 66198 and 66209?

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 66198 and 66209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66198 and 66209, than apply into the LCM equation.

GCF(66198,66209) = 11
LCM(66198,66209) = ( 66198 × 66209) / 11
LCM(66198,66209) = 4382903382 / 11
LCM(66198,66209) = 398445762

Least Common Multiple (LCM) of 66198 and 66209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66198 and 66209. First we will calculate the prime factors of 66198 and 66209.

Prime Factorization of 66198

Prime Factorization of 66209

Now multiplying the highest exponent prime factors to calculate the LCM of 66198 and 66209.

LCM(66198,66209) = 2¹ × 3¹ × 11¹ × 17¹ × 59¹ × 13¹ × 463¹
LCM(66198,66209) = 398445762