What is the Least Common Multiple of 38129 and 38142?

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 of 38129 and 38142 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 38142, than apply into the LCM equation.

GCF(38129,38142) = 13
LCM(38129,38142) = ( 38129 × 38142) / 13
LCM(38129,38142) = 1454316318 / 13
LCM(38129,38142) = 111870486

Least Common Multiple (LCM) of 38129 and 38142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38129 and 38142. First we will calculate the prime factors of 38129 and 38142.

Prime Factorization of 38129

Prime Factorization of 38142

Now multiplying the highest exponent prime factors to calculate the LCM of 38129 and 38142.

LCM(38129,38142) = 7¹ × 13¹ × 419¹ × 2¹ × 3² × 163¹
LCM(38129,38142) = 111870486