GCF and LCM Calculator Logo

What is the Least Common Multiple of 30254 and 30274?

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 30254 and 30274 is 457954798.

LCM(30254,30274) = 457954798

LCM Calculator and
and

Least Common Multiple of 30254 and 30274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30254 and 30274, than apply into the LCM equation.

GCF(30254,30274) = 2
LCM(30254,30274) = ( 30254 × 30274) / 2
LCM(30254,30274) = 915909596 / 2
LCM(30254,30274) = 457954798

Least Common Multiple (LCM) of 30254 and 30274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30254 and 30274. First we will calculate the prime factors of 30254 and 30274.

Prime Factorization of 30254

Prime factors of 30254 are 2, 7, 2161. Prime factorization of 30254 in exponential form is:

30254 = 21 × 71 × 21611

Prime Factorization of 30274

Prime factors of 30274 are 2, 15137. Prime factorization of 30274 in exponential form is:

30274 = 21 × 151371

Now multiplying the highest exponent prime factors to calculate the LCM of 30254 and 30274.

LCM(30254,30274) = 21 × 71 × 21611 × 151371
LCM(30254,30274) = 457954798