GCF and LCM Calculator Logo

What is the Least Common Multiple of 39533 and 39542?

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 39533 and 39542 is 1563213886.

LCM(39533,39542) = 1563213886

LCM Calculator and
and

Least Common Multiple of 39533 and 39542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39533 and 39542, than apply into the LCM equation.

GCF(39533,39542) = 1
LCM(39533,39542) = ( 39533 × 39542) / 1
LCM(39533,39542) = 1563213886 / 1
LCM(39533,39542) = 1563213886

Least Common Multiple (LCM) of 39533 and 39542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39533 and 39542. First we will calculate the prime factors of 39533 and 39542.

Prime Factorization of 39533

Prime factors of 39533 are 13, 3041. Prime factorization of 39533 in exponential form is:

39533 = 131 × 30411

Prime Factorization of 39542

Prime factors of 39542 are 2, 17, 1163. Prime factorization of 39542 in exponential form is:

39542 = 21 × 171 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 39533 and 39542.

LCM(39533,39542) = 131 × 30411 × 21 × 171 × 11631
LCM(39533,39542) = 1563213886