GCF and LCM Calculator Logo

What is the Least Common Multiple of 39531 and 39538?

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 39531 and 39538 is 1562976678.

LCM(39531,39538) = 1562976678

LCM Calculator and
and

Least Common Multiple of 39531 and 39538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39531 and 39538, than apply into the LCM equation.

GCF(39531,39538) = 1
LCM(39531,39538) = ( 39531 × 39538) / 1
LCM(39531,39538) = 1562976678 / 1
LCM(39531,39538) = 1562976678

Least Common Multiple (LCM) of 39531 and 39538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39531 and 39538. First we will calculate the prime factors of 39531 and 39538.

Prime Factorization of 39531

Prime factors of 39531 are 3, 13177. Prime factorization of 39531 in exponential form is:

39531 = 31 × 131771

Prime Factorization of 39538

Prime factors of 39538 are 2, 53, 373. Prime factorization of 39538 in exponential form is:

39538 = 21 × 531 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 39531 and 39538.

LCM(39531,39538) = 31 × 131771 × 21 × 531 × 3731
LCM(39531,39538) = 1562976678