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What is the Least Common Multiple of 15301 and 15310?

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 15301 and 15310 is 234258310.

LCM(15301,15310) = 234258310

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Least Common Multiple of 15301 and 15310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15301 and 15310, than apply into the LCM equation.

GCF(15301,15310) = 1
LCM(15301,15310) = ( 15301 × 15310) / 1
LCM(15301,15310) = 234258310 / 1
LCM(15301,15310) = 234258310

Least Common Multiple (LCM) of 15301 and 15310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15301 and 15310. First we will calculate the prime factors of 15301 and 15310.

Prime Factorization of 15301

Prime factors of 15301 are 11, 13, 107. Prime factorization of 15301 in exponential form is:

15301 = 111 × 131 × 1071

Prime Factorization of 15310

Prime factors of 15310 are 2, 5, 1531. Prime factorization of 15310 in exponential form is:

15310 = 21 × 51 × 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 15301 and 15310.

LCM(15301,15310) = 111 × 131 × 1071 × 21 × 51 × 15311
LCM(15301,15310) = 234258310