GCF and LCM Calculator Logo

What is the Least Common Multiple of 66539 and 66544?

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 66539 and 66544 is 4427771216.

LCM(66539,66544) = 4427771216

LCM Calculator and
and

Least Common Multiple of 66539 and 66544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66539 and 66544, than apply into the LCM equation.

GCF(66539,66544) = 1
LCM(66539,66544) = ( 66539 × 66544) / 1
LCM(66539,66544) = 4427771216 / 1
LCM(66539,66544) = 4427771216

Least Common Multiple (LCM) of 66539 and 66544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66539 and 66544. First we will calculate the prime factors of 66539 and 66544.

Prime Factorization of 66539

Prime factors of 66539 are 11, 23, 263. Prime factorization of 66539 in exponential form is:

66539 = 111 × 231 × 2631

Prime Factorization of 66544

Prime factors of 66544 are 2, 4159. Prime factorization of 66544 in exponential form is:

66544 = 24 × 41591

Now multiplying the highest exponent prime factors to calculate the LCM of 66539 and 66544.

LCM(66539,66544) = 111 × 231 × 2631 × 24 × 41591
LCM(66539,66544) = 4427771216