GCF and LCM Calculator Logo

What is the Least Common Multiple of 38129 and 38135?

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 38129 and 38135 is 1454049415.

LCM(38129,38135) = 1454049415

LCM Calculator and
and

Least Common Multiple of 38129 and 38135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38129 and 38135, than apply into the LCM equation.

GCF(38129,38135) = 1
LCM(38129,38135) = ( 38129 × 38135) / 1
LCM(38129,38135) = 1454049415 / 1
LCM(38129,38135) = 1454049415

Least Common Multiple (LCM) of 38129 and 38135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38129 and 38135. First we will calculate the prime factors of 38129 and 38135.

Prime Factorization of 38129

Prime factors of 38129 are 7, 13, 419. Prime factorization of 38129 in exponential form is:

38129 = 71 × 131 × 4191

Prime Factorization of 38135

Prime factors of 38135 are 5, 29, 263. Prime factorization of 38135 in exponential form is:

38135 = 51 × 291 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 38129 and 38135.

LCM(38129,38135) = 71 × 131 × 4191 × 51 × 291 × 2631
LCM(38129,38135) = 1454049415