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What is the Least Common Multiple of 13030 and 13041?

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 13030 and 13041 is 169924230.

LCM(13030,13041) = 169924230

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Least Common Multiple of 13030 and 13041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13030 and 13041, than apply into the LCM equation.

GCF(13030,13041) = 1
LCM(13030,13041) = ( 13030 × 13041) / 1
LCM(13030,13041) = 169924230 / 1
LCM(13030,13041) = 169924230

Least Common Multiple (LCM) of 13030 and 13041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13030 and 13041. First we will calculate the prime factors of 13030 and 13041.

Prime Factorization of 13030

Prime factors of 13030 are 2, 5, 1303. Prime factorization of 13030 in exponential form is:

13030 = 21 × 51 × 13031

Prime Factorization of 13041

Prime factors of 13041 are 3, 7, 23. Prime factorization of 13041 in exponential form is:

13041 = 34 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 13030 and 13041.

LCM(13030,13041) = 21 × 51 × 13031 × 34 × 71 × 231
LCM(13030,13041) = 169924230