What is the Least Common Multiple of 38434 and 38454?

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 38434 and 38454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38434 and 38454, than apply into the LCM equation.

GCF(38434,38454) = 2
LCM(38434,38454) = ( 38434 × 38454) / 2
LCM(38434,38454) = 1477941036 / 2
LCM(38434,38454) = 738970518

Least Common Multiple (LCM) of 38434 and 38454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38434 and 38454. First we will calculate the prime factors of 38434 and 38454.

Prime Factorization of 38434

Prime Factorization of 38454

Now multiplying the highest exponent prime factors to calculate the LCM of 38434 and 38454.

LCM(38434,38454) = 2¹ × 11¹ × 1747¹ × 3¹ × 13¹ × 17¹ × 29¹
LCM(38434,38454) = 738970518