GCF and LCM Calculator Logo

What is the Least Common Multiple of 30189 and 30209?

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 30189 and 30209 is 911979501.

LCM(30189,30209) = 911979501

LCM Calculator and
and

Least Common Multiple of 30189 and 30209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30189 and 30209, than apply into the LCM equation.

GCF(30189,30209) = 1
LCM(30189,30209) = ( 30189 × 30209) / 1
LCM(30189,30209) = 911979501 / 1
LCM(30189,30209) = 911979501

Least Common Multiple (LCM) of 30189 and 30209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30189 and 30209. First we will calculate the prime factors of 30189 and 30209.

Prime Factorization of 30189

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

30189 = 31 × 291 × 3471

Prime Factorization of 30209

Prime factors of 30209 are 17, 1777. Prime factorization of 30209 in exponential form is:

30209 = 171 × 17771

Now multiplying the highest exponent prime factors to calculate the LCM of 30189 and 30209.

LCM(30189,30209) = 31 × 291 × 3471 × 171 × 17771
LCM(30189,30209) = 911979501