GCF and LCM Calculator Logo

What is the Least Common Multiple of 66264 and 66277?

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 66264 and 66277 is 4391779128.

LCM(66264,66277) = 4391779128

LCM Calculator and
and

Least Common Multiple of 66264 and 66277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66264 and 66277, than apply into the LCM equation.

GCF(66264,66277) = 1
LCM(66264,66277) = ( 66264 × 66277) / 1
LCM(66264,66277) = 4391779128 / 1
LCM(66264,66277) = 4391779128

Least Common Multiple (LCM) of 66264 and 66277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66264 and 66277. First we will calculate the prime factors of 66264 and 66277.

Prime Factorization of 66264

Prime factors of 66264 are 2, 3, 11, 251. Prime factorization of 66264 in exponential form is:

66264 = 23 × 31 × 111 × 2511

Prime Factorization of 66277

Prime factors of 66277 are 191, 347. Prime factorization of 66277 in exponential form is:

66277 = 1911 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 66264 and 66277.

LCM(66264,66277) = 23 × 31 × 111 × 2511 × 1911 × 3471
LCM(66264,66277) = 4391779128