GCF and LCM Calculator Logo

What is the Least Common Multiple of 29816 and 29822?

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 29816 and 29822 is 444586376.

LCM(29816,29822) = 444586376

LCM Calculator and
and

Least Common Multiple of 29816 and 29822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29816 and 29822, than apply into the LCM equation.

GCF(29816,29822) = 2
LCM(29816,29822) = ( 29816 × 29822) / 2
LCM(29816,29822) = 889172752 / 2
LCM(29816,29822) = 444586376

Least Common Multiple (LCM) of 29816 and 29822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29816 and 29822. First we will calculate the prime factors of 29816 and 29822.

Prime Factorization of 29816

Prime factors of 29816 are 2, 3727. Prime factorization of 29816 in exponential form is:

29816 = 23 × 37271

Prime Factorization of 29822

Prime factors of 29822 are 2, 13, 31, 37. Prime factorization of 29822 in exponential form is:

29822 = 21 × 131 × 311 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 29816 and 29822.

LCM(29816,29822) = 23 × 37271 × 131 × 311 × 371
LCM(29816,29822) = 444586376