GCF and LCM Calculator Logo

What is the Least Common Multiple of 30706 and 30720?

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 30706 and 30720 is 471644160.

LCM(30706,30720) = 471644160

LCM Calculator and
and

Least Common Multiple of 30706 and 30720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30706 and 30720, than apply into the LCM equation.

GCF(30706,30720) = 2
LCM(30706,30720) = ( 30706 × 30720) / 2
LCM(30706,30720) = 943288320 / 2
LCM(30706,30720) = 471644160

Least Common Multiple (LCM) of 30706 and 30720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30706 and 30720. First we will calculate the prime factors of 30706 and 30720.

Prime Factorization of 30706

Prime factors of 30706 are 2, 13, 1181. Prime factorization of 30706 in exponential form is:

30706 = 21 × 131 × 11811

Prime Factorization of 30720

Prime factors of 30720 are 2, 3, 5. Prime factorization of 30720 in exponential form is:

30720 = 211 × 31 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 30706 and 30720.

LCM(30706,30720) = 211 × 131 × 11811 × 31 × 51
LCM(30706,30720) = 471644160