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What is the Least Common Multiple of 30865 and 30884?

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 30865 and 30884 is 953234660.

LCM(30865,30884) = 953234660

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Least Common Multiple of 30865 and 30884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30865 and 30884, than apply into the LCM equation.

GCF(30865,30884) = 1
LCM(30865,30884) = ( 30865 × 30884) / 1
LCM(30865,30884) = 953234660 / 1
LCM(30865,30884) = 953234660

Least Common Multiple (LCM) of 30865 and 30884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30865 and 30884. First we will calculate the prime factors of 30865 and 30884.

Prime Factorization of 30865

Prime factors of 30865 are 5, 6173. Prime factorization of 30865 in exponential form is:

30865 = 51 × 61731

Prime Factorization of 30884

Prime factors of 30884 are 2, 7, 1103. Prime factorization of 30884 in exponential form is:

30884 = 22 × 71 × 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 30865 and 30884.

LCM(30865,30884) = 51 × 61731 × 22 × 71 × 11031
LCM(30865,30884) = 953234660