What is the Least Common Multiple of 66209 and 66220?

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 66209 and 66220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66209 and 66220, than apply into the LCM equation.

GCF(66209,66220) = 11
LCM(66209,66220) = ( 66209 × 66220) / 11
LCM(66209,66220) = 4384359980 / 11
LCM(66209,66220) = 398578180

Least Common Multiple (LCM) of 66209 and 66220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66209 and 66220. First we will calculate the prime factors of 66209 and 66220.

Prime Factorization of 66209

Prime Factorization of 66220

Now multiplying the highest exponent prime factors to calculate the LCM of 66209 and 66220.

LCM(66209,66220) = 11¹ × 13¹ × 463¹ × 2² × 5¹ × 7¹ × 43¹
LCM(66209,66220) = 398578180