GCF and LCM Calculator Logo

What is the Least Common Multiple of 30172 and 30189?

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 30172 and 30189 is 910862508.

LCM(30172,30189) = 910862508

LCM Calculator and
and

Least Common Multiple of 30172 and 30189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30172 and 30189, than apply into the LCM equation.

GCF(30172,30189) = 1
LCM(30172,30189) = ( 30172 × 30189) / 1
LCM(30172,30189) = 910862508 / 1
LCM(30172,30189) = 910862508

Least Common Multiple (LCM) of 30172 and 30189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30172 and 30189. First we will calculate the prime factors of 30172 and 30189.

Prime Factorization of 30172

Prime factors of 30172 are 2, 19, 397. Prime factorization of 30172 in exponential form is:

30172 = 22 × 191 × 3971

Prime Factorization of 30189

Prime factors of 30189 are 3, 29, 347. Prime factorization of 30189 in exponential form is:

30189 = 31 × 291 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 30172 and 30189.

LCM(30172,30189) = 22 × 191 × 3971 × 31 × 291 × 3471
LCM(30172,30189) = 910862508