What is the Least Common Multiple of 38134 and 38154?

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 38134 and 38154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38134 and 38154, than apply into the LCM equation.

GCF(38134,38154) = 2
LCM(38134,38154) = ( 38134 × 38154) / 2
LCM(38134,38154) = 1454964636 / 2
LCM(38134,38154) = 727482318

Least Common Multiple (LCM) of 38134 and 38154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38134 and 38154. First we will calculate the prime factors of 38134 and 38154.

Prime Factorization of 38134

Prime Factorization of 38154

Now multiplying the highest exponent prime factors to calculate the LCM of 38134 and 38154.

LCM(38134,38154) = 2¹ × 23¹ × 829¹ × 3¹ × 6359¹
LCM(38134,38154) = 727482318