GCF and LCM Calculator Logo

What is the Least Common Multiple of 29454 and 29458?

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 29454 and 29458 is 433827966.

LCM(29454,29458) = 433827966

LCM Calculator and
and

Least Common Multiple of 29454 and 29458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29454 and 29458, than apply into the LCM equation.

GCF(29454,29458) = 2
LCM(29454,29458) = ( 29454 × 29458) / 2
LCM(29454,29458) = 867655932 / 2
LCM(29454,29458) = 433827966

Least Common Multiple (LCM) of 29454 and 29458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29454 and 29458. First we will calculate the prime factors of 29454 and 29458.

Prime Factorization of 29454

Prime factors of 29454 are 2, 3, 4909. Prime factorization of 29454 in exponential form is:

29454 = 21 × 31 × 49091

Prime Factorization of 29458

Prime factors of 29458 are 2, 11, 13, 103. Prime factorization of 29458 in exponential form is:

29458 = 21 × 111 × 131 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 29454 and 29458.

LCM(29454,29458) = 21 × 31 × 49091 × 111 × 131 × 1031
LCM(29454,29458) = 433827966