GCF and LCM Calculator Logo

What is the Least Common Multiple of 29774 and 29782?

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 29774 and 29782 is 443364634.

LCM(29774,29782) = 443364634

LCM Calculator and
and

Least Common Multiple of 29774 and 29782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29774 and 29782, than apply into the LCM equation.

GCF(29774,29782) = 2
LCM(29774,29782) = ( 29774 × 29782) / 2
LCM(29774,29782) = 886729268 / 2
LCM(29774,29782) = 443364634

Least Common Multiple (LCM) of 29774 and 29782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29774 and 29782. First we will calculate the prime factors of 29774 and 29782.

Prime Factorization of 29774

Prime factors of 29774 are 2, 14887. Prime factorization of 29774 in exponential form is:

29774 = 21 × 148871

Prime Factorization of 29782

Prime factors of 29782 are 2, 14891. Prime factorization of 29782 in exponential form is:

29782 = 21 × 148911

Now multiplying the highest exponent prime factors to calculate the LCM of 29774 and 29782.

LCM(29774,29782) = 21 × 148871 × 148911
LCM(29774,29782) = 443364634