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What is the Least Common Multiple of 18820 and 18829?

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 18820 and 18829 is 354361780.

LCM(18820,18829) = 354361780

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Least Common Multiple of 18820 and 18829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18820 and 18829, than apply into the LCM equation.

GCF(18820,18829) = 1
LCM(18820,18829) = ( 18820 × 18829) / 1
LCM(18820,18829) = 354361780 / 1
LCM(18820,18829) = 354361780

Least Common Multiple (LCM) of 18820 and 18829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18820 and 18829. First we will calculate the prime factors of 18820 and 18829.

Prime Factorization of 18820

Prime factors of 18820 are 2, 5, 941. Prime factorization of 18820 in exponential form is:

18820 = 22 × 51 × 9411

Prime Factorization of 18829

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

18829 = 191 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 18820 and 18829.

LCM(18820,18829) = 22 × 51 × 9411 × 191 × 9911
LCM(18820,18829) = 354361780