GCF and LCM Calculator Logo

What is the Least Common Multiple of 30412 and 30423?

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 30412 and 30423 is 925224276.

LCM(30412,30423) = 925224276

LCM Calculator and
and

Least Common Multiple of 30412 and 30423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30412 and 30423, than apply into the LCM equation.

GCF(30412,30423) = 1
LCM(30412,30423) = ( 30412 × 30423) / 1
LCM(30412,30423) = 925224276 / 1
LCM(30412,30423) = 925224276

Least Common Multiple (LCM) of 30412 and 30423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30412 and 30423. First we will calculate the prime factors of 30412 and 30423.

Prime Factorization of 30412

Prime factors of 30412 are 2, 7603. Prime factorization of 30412 in exponential form is:

30412 = 22 × 76031

Prime Factorization of 30423

Prime factors of 30423 are 3, 10141. Prime factorization of 30423 in exponential form is:

30423 = 31 × 101411

Now multiplying the highest exponent prime factors to calculate the LCM of 30412 and 30423.

LCM(30412,30423) = 22 × 76031 × 31 × 101411
LCM(30412,30423) = 925224276