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What is the Least Common Multiple of 30794 and 30802?

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 30794 and 30802 is 474258394.

LCM(30794,30802) = 474258394

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Least Common Multiple of 30794 and 30802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30794 and 30802, than apply into the LCM equation.

GCF(30794,30802) = 2
LCM(30794,30802) = ( 30794 × 30802) / 2
LCM(30794,30802) = 948516788 / 2
LCM(30794,30802) = 474258394

Least Common Multiple (LCM) of 30794 and 30802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30794 and 30802. First we will calculate the prime factors of 30794 and 30802.

Prime Factorization of 30794

Prime factors of 30794 are 2, 89, 173. Prime factorization of 30794 in exponential form is:

30794 = 21 × 891 × 1731

Prime Factorization of 30802

Prime factors of 30802 are 2, 15401. Prime factorization of 30802 in exponential form is:

30802 = 21 × 154011

Now multiplying the highest exponent prime factors to calculate the LCM of 30794 and 30802.

LCM(30794,30802) = 21 × 891 × 1731 × 154011
LCM(30794,30802) = 474258394