GCF and LCM Calculator Logo

What is the Least Common Multiple of 30649 and 30669?

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 30649 and 30669 is 939974181.

LCM(30649,30669) = 939974181

LCM Calculator and
and

Least Common Multiple of 30649 and 30669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30649 and 30669, than apply into the LCM equation.

GCF(30649,30669) = 1
LCM(30649,30669) = ( 30649 × 30669) / 1
LCM(30649,30669) = 939974181 / 1
LCM(30649,30669) = 939974181

Least Common Multiple (LCM) of 30649 and 30669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30649 and 30669. First we will calculate the prime factors of 30649 and 30669.

Prime Factorization of 30649

Prime factors of 30649 are 30649. Prime factorization of 30649 in exponential form is:

30649 = 306491

Prime Factorization of 30669

Prime factors of 30669 are 3, 10223. Prime factorization of 30669 in exponential form is:

30669 = 31 × 102231

Now multiplying the highest exponent prime factors to calculate the LCM of 30649 and 30669.

LCM(30649,30669) = 306491 × 31 × 102231
LCM(30649,30669) = 939974181