GCF and LCM Calculator Logo

What is the Least Common Multiple of 65988 and 66005?

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 65988 and 66005 is 4355537940.

LCM(65988,66005) = 4355537940

LCM Calculator and
and

Least Common Multiple of 65988 and 66005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65988 and 66005, than apply into the LCM equation.

GCF(65988,66005) = 1
LCM(65988,66005) = ( 65988 × 66005) / 1
LCM(65988,66005) = 4355537940 / 1
LCM(65988,66005) = 4355537940

Least Common Multiple (LCM) of 65988 and 66005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65988 and 66005. First we will calculate the prime factors of 65988 and 66005.

Prime Factorization of 65988

Prime factors of 65988 are 2, 3, 13, 47. Prime factorization of 65988 in exponential form is:

65988 = 22 × 33 × 131 × 471

Prime Factorization of 66005

Prime factors of 66005 are 5, 43, 307. Prime factorization of 66005 in exponential form is:

66005 = 51 × 431 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 65988 and 66005.

LCM(65988,66005) = 22 × 33 × 131 × 471 × 51 × 431 × 3071
LCM(65988,66005) = 4355537940