GCF and LCM Calculator Logo

What is the Least Common Multiple of 29962 and 29982?

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 29962 and 29982 is 449160342.

LCM(29962,29982) = 449160342

LCM Calculator and
and

Least Common Multiple of 29962 and 29982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29962 and 29982, than apply into the LCM equation.

GCF(29962,29982) = 2
LCM(29962,29982) = ( 29962 × 29982) / 2
LCM(29962,29982) = 898320684 / 2
LCM(29962,29982) = 449160342

Least Common Multiple (LCM) of 29962 and 29982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29962 and 29982. First we will calculate the prime factors of 29962 and 29982.

Prime Factorization of 29962

Prime factors of 29962 are 2, 71, 211. Prime factorization of 29962 in exponential form is:

29962 = 21 × 711 × 2111

Prime Factorization of 29982

Prime factors of 29982 are 2, 3, 19, 263. Prime factorization of 29982 in exponential form is:

29982 = 21 × 31 × 191 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 29962 and 29982.

LCM(29962,29982) = 21 × 711 × 2111 × 31 × 191 × 2631
LCM(29962,29982) = 449160342