GCF and LCM Calculator Logo

What is the Least Common Multiple of 30639 and 30653?

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 30639 and 30653 is 134168181.

LCM(30639,30653) = 134168181

LCM Calculator and
and

Least Common Multiple of 30639 and 30653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30639 and 30653, than apply into the LCM equation.

GCF(30639,30653) = 7
LCM(30639,30653) = ( 30639 × 30653) / 7
LCM(30639,30653) = 939177267 / 7
LCM(30639,30653) = 134168181

Least Common Multiple (LCM) of 30639 and 30653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30639 and 30653. First we will calculate the prime factors of 30639 and 30653.

Prime Factorization of 30639

Prime factors of 30639 are 3, 7, 1459. Prime factorization of 30639 in exponential form is:

30639 = 31 × 71 × 14591

Prime Factorization of 30653

Prime factors of 30653 are 7, 29, 151. Prime factorization of 30653 in exponential form is:

30653 = 71 × 291 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 30639 and 30653.

LCM(30639,30653) = 31 × 71 × 14591 × 291 × 1511
LCM(30639,30653) = 134168181