GCF and LCM Calculator Logo

What is the Least Common Multiple of 30124 and 30139?

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 30124 and 30139 is 907907236.

LCM(30124,30139) = 907907236

LCM Calculator and
and

Least Common Multiple of 30124 and 30139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30124 and 30139, than apply into the LCM equation.

GCF(30124,30139) = 1
LCM(30124,30139) = ( 30124 × 30139) / 1
LCM(30124,30139) = 907907236 / 1
LCM(30124,30139) = 907907236

Least Common Multiple (LCM) of 30124 and 30139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30124 and 30139. First we will calculate the prime factors of 30124 and 30139.

Prime Factorization of 30124

Prime factors of 30124 are 2, 17, 443. Prime factorization of 30124 in exponential form is:

30124 = 22 × 171 × 4431

Prime Factorization of 30139

Prime factors of 30139 are 30139. Prime factorization of 30139 in exponential form is:

30139 = 301391

Now multiplying the highest exponent prime factors to calculate the LCM of 30124 and 30139.

LCM(30124,30139) = 22 × 171 × 4431 × 301391
LCM(30124,30139) = 907907236