What is the Least Common Multiple of 38254 and 38274?

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 38254 and 38274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38254 and 38274, than apply into the LCM equation.

GCF(38254,38274) = 2
LCM(38254,38274) = ( 38254 × 38274) / 2
LCM(38254,38274) = 1464133596 / 2
LCM(38254,38274) = 732066798

Least Common Multiple (LCM) of 38254 and 38274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38254 and 38274. First we will calculate the prime factors of 38254 and 38274.

Prime Factorization of 38254

Prime Factorization of 38274

Now multiplying the highest exponent prime factors to calculate the LCM of 38254 and 38274.

LCM(38254,38274) = 2¹ × 31¹ × 617¹ × 3¹ × 6379¹
LCM(38254,38274) = 732066798