GCF and LCM Calculator Logo

What is the Least Common Multiple of 30104 and 30123?

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 30104 and 30123 is 906822792.

LCM(30104,30123) = 906822792

LCM Calculator and
and

Least Common Multiple of 30104 and 30123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30104 and 30123, than apply into the LCM equation.

GCF(30104,30123) = 1
LCM(30104,30123) = ( 30104 × 30123) / 1
LCM(30104,30123) = 906822792 / 1
LCM(30104,30123) = 906822792

Least Common Multiple (LCM) of 30104 and 30123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30104 and 30123. First we will calculate the prime factors of 30104 and 30123.

Prime Factorization of 30104

Prime factors of 30104 are 2, 53, 71. Prime factorization of 30104 in exponential form is:

30104 = 23 × 531 × 711

Prime Factorization of 30123

Prime factors of 30123 are 3, 3347. Prime factorization of 30123 in exponential form is:

30123 = 32 × 33471

Now multiplying the highest exponent prime factors to calculate the LCM of 30104 and 30123.

LCM(30104,30123) = 23 × 531 × 711 × 32 × 33471
LCM(30104,30123) = 906822792