GCF and LCM Calculator Logo

What is the Least Common Multiple of 39290 and 39299?

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 39290 and 39299 is 1544057710.

LCM(39290,39299) = 1544057710

LCM Calculator and
and

Least Common Multiple of 39290 and 39299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39290 and 39299, than apply into the LCM equation.

GCF(39290,39299) = 1
LCM(39290,39299) = ( 39290 × 39299) / 1
LCM(39290,39299) = 1544057710 / 1
LCM(39290,39299) = 1544057710

Least Common Multiple (LCM) of 39290 and 39299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39290 and 39299. First we will calculate the prime factors of 39290 and 39299.

Prime Factorization of 39290

Prime factors of 39290 are 2, 5, 3929. Prime factorization of 39290 in exponential form is:

39290 = 21 × 51 × 39291

Prime Factorization of 39299

Prime factors of 39299 are 13, 3023. Prime factorization of 39299 in exponential form is:

39299 = 131 × 30231

Now multiplying the highest exponent prime factors to calculate the LCM of 39290 and 39299.

LCM(39290,39299) = 21 × 51 × 39291 × 131 × 30231
LCM(39290,39299) = 1544057710