GCF and LCM Calculator Logo

What is the Least Common Multiple of 66524 and 66538?

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 66524 and 66538 is 2213186956.

LCM(66524,66538) = 2213186956

LCM Calculator and
and

Least Common Multiple of 66524 and 66538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66524 and 66538, than apply into the LCM equation.

GCF(66524,66538) = 2
LCM(66524,66538) = ( 66524 × 66538) / 2
LCM(66524,66538) = 4426373912 / 2
LCM(66524,66538) = 2213186956

Least Common Multiple (LCM) of 66524 and 66538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66524 and 66538. First we will calculate the prime factors of 66524 and 66538.

Prime Factorization of 66524

Prime factors of 66524 are 2, 16631. Prime factorization of 66524 in exponential form is:

66524 = 22 × 166311

Prime Factorization of 66538

Prime factors of 66538 are 2, 17, 19, 103. Prime factorization of 66538 in exponential form is:

66538 = 21 × 171 × 191 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 66524 and 66538.

LCM(66524,66538) = 22 × 166311 × 171 × 191 × 1031
LCM(66524,66538) = 2213186956