GCF and LCM Calculator Logo

What is the Least Common Multiple of 30495 and 30508?

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 30495 and 30508 is 930341460.

LCM(30495,30508) = 930341460

LCM Calculator and
and

Least Common Multiple of 30495 and 30508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30495 and 30508, than apply into the LCM equation.

GCF(30495,30508) = 1
LCM(30495,30508) = ( 30495 × 30508) / 1
LCM(30495,30508) = 930341460 / 1
LCM(30495,30508) = 930341460

Least Common Multiple (LCM) of 30495 and 30508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30495 and 30508. First we will calculate the prime factors of 30495 and 30508.

Prime Factorization of 30495

Prime factors of 30495 are 3, 5, 19, 107. Prime factorization of 30495 in exponential form is:

30495 = 31 × 51 × 191 × 1071

Prime Factorization of 30508

Prime factors of 30508 are 2, 29, 263. Prime factorization of 30508 in exponential form is:

30508 = 22 × 291 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 30495 and 30508.

LCM(30495,30508) = 31 × 51 × 191 × 1071 × 22 × 291 × 2631
LCM(30495,30508) = 930341460