GCF and LCM Calculator Logo

What is the Least Common Multiple of 30069 and 30088?

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 30069 and 30088 is 904716072.

LCM(30069,30088) = 904716072

LCM Calculator and
and

Least Common Multiple of 30069 and 30088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30069 and 30088, than apply into the LCM equation.

GCF(30069,30088) = 1
LCM(30069,30088) = ( 30069 × 30088) / 1
LCM(30069,30088) = 904716072 / 1
LCM(30069,30088) = 904716072

Least Common Multiple (LCM) of 30069 and 30088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30069 and 30088. First we will calculate the prime factors of 30069 and 30088.

Prime Factorization of 30069

Prime factors of 30069 are 3, 13, 257. Prime factorization of 30069 in exponential form is:

30069 = 32 × 131 × 2571

Prime Factorization of 30088

Prime factors of 30088 are 2, 3761. Prime factorization of 30088 in exponential form is:

30088 = 23 × 37611

Now multiplying the highest exponent prime factors to calculate the LCM of 30069 and 30088.

LCM(30069,30088) = 32 × 131 × 2571 × 23 × 37611
LCM(30069,30088) = 904716072