GCF and LCM Calculator Logo

What is the Least Common Multiple of 18829 and 18834?

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 18829 and 18834 is 354625386.

LCM(18829,18834) = 354625386

LCM Calculator and
and

Least Common Multiple of 18829 and 18834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18829 and 18834, than apply into the LCM equation.

GCF(18829,18834) = 1
LCM(18829,18834) = ( 18829 × 18834) / 1
LCM(18829,18834) = 354625386 / 1
LCM(18829,18834) = 354625386

Least Common Multiple (LCM) of 18829 and 18834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18829 and 18834. First we will calculate the prime factors of 18829 and 18834.

Prime Factorization of 18829

Prime factors of 18829 are 19, 991. Prime factorization of 18829 in exponential form is:

18829 = 191 × 9911

Prime Factorization of 18834

Prime factors of 18834 are 2, 3, 43, 73. Prime factorization of 18834 in exponential form is:

18834 = 21 × 31 × 431 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 18829 and 18834.

LCM(18829,18834) = 191 × 9911 × 21 × 31 × 431 × 731
LCM(18829,18834) = 354625386