GCF and LCM Calculator Logo

What is the Least Common Multiple of 66209 and 66215?

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 (LCM) of 66209 and 66215 is 4384028935.

LCM(66209,66215) = 4384028935

LCM Calculator and
and

Least Common Multiple of 66209 and 66215 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 66215, than apply into the LCM equation.

GCF(66209,66215) = 1
LCM(66209,66215) = ( 66209 × 66215) / 1
LCM(66209,66215) = 4384028935 / 1
LCM(66209,66215) = 4384028935

Least Common Multiple (LCM) of 66209 and 66215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66209 and 66215. First we will calculate the prime factors of 66209 and 66215.

Prime Factorization of 66209

Prime factors of 66209 are 11, 13, 463. Prime factorization of 66209 in exponential form is:

66209 = 111 × 131 × 4631

Prime Factorization of 66215

Prime factors of 66215 are 5, 17, 19, 41. Prime factorization of 66215 in exponential form is:

66215 = 51 × 171 × 191 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 66209 and 66215.

LCM(66209,66215) = 111 × 131 × 4631 × 51 × 171 × 191 × 411
LCM(66209,66215) = 4384028935