GCF and LCM Calculator Logo

What is the Least Common Multiple of 66583 and 66591?

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 66583 and 66591 is 4433828553.

LCM(66583,66591) = 4433828553

LCM Calculator and
and

Least Common Multiple of 66583 and 66591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66583 and 66591, than apply into the LCM equation.

GCF(66583,66591) = 1
LCM(66583,66591) = ( 66583 × 66591) / 1
LCM(66583,66591) = 4433828553 / 1
LCM(66583,66591) = 4433828553

Least Common Multiple (LCM) of 66583 and 66591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66583 and 66591. First we will calculate the prime factors of 66583 and 66591.

Prime Factorization of 66583

Prime factors of 66583 are 11, 6053. Prime factorization of 66583 in exponential form is:

66583 = 111 × 60531

Prime Factorization of 66591

Prime factors of 66591 are 3, 7, 151. Prime factorization of 66591 in exponential form is:

66591 = 32 × 72 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 66583 and 66591.

LCM(66583,66591) = 111 × 60531 × 32 × 72 × 1511
LCM(66583,66591) = 4433828553