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What is the Least Common Multiple of 30792 and 30805?

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 30792 and 30805 is 948547560.

LCM(30792,30805) = 948547560

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Least Common Multiple of 30792 and 30805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30792 and 30805, than apply into the LCM equation.

GCF(30792,30805) = 1
LCM(30792,30805) = ( 30792 × 30805) / 1
LCM(30792,30805) = 948547560 / 1
LCM(30792,30805) = 948547560

Least Common Multiple (LCM) of 30792 and 30805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30792 and 30805. First we will calculate the prime factors of 30792 and 30805.

Prime Factorization of 30792

Prime factors of 30792 are 2, 3, 1283. Prime factorization of 30792 in exponential form is:

30792 = 23 × 31 × 12831

Prime Factorization of 30805

Prime factors of 30805 are 5, 61, 101. Prime factorization of 30805 in exponential form is:

30805 = 51 × 611 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 30792 and 30805.

LCM(30792,30805) = 23 × 31 × 12831 × 51 × 611 × 1011
LCM(30792,30805) = 948547560