GCF and LCM Calculator Logo

What is the Least Common Multiple of 30459 and 30475?

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 30459 and 30475 is 928238025.

LCM(30459,30475) = 928238025

LCM Calculator and
and

Least Common Multiple of 30459 and 30475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30459 and 30475, than apply into the LCM equation.

GCF(30459,30475) = 1
LCM(30459,30475) = ( 30459 × 30475) / 1
LCM(30459,30475) = 928238025 / 1
LCM(30459,30475) = 928238025

Least Common Multiple (LCM) of 30459 and 30475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30459 and 30475. First we will calculate the prime factors of 30459 and 30475.

Prime Factorization of 30459

Prime factors of 30459 are 3, 11, 13, 71. Prime factorization of 30459 in exponential form is:

30459 = 31 × 111 × 131 × 711

Prime Factorization of 30475

Prime factors of 30475 are 5, 23, 53. Prime factorization of 30475 in exponential form is:

30475 = 52 × 231 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 30459 and 30475.

LCM(30459,30475) = 31 × 111 × 131 × 711 × 52 × 231 × 531
LCM(30459,30475) = 928238025