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What is the Least Common Multiple of 30787 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 30787 and 30802 is 948301174.

LCM(30787,30802) = 948301174

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Least Common Multiple of 30787 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 30787 and 30802, than apply into the LCM equation.

GCF(30787,30802) = 1
LCM(30787,30802) = ( 30787 × 30802) / 1
LCM(30787,30802) = 948301174 / 1
LCM(30787,30802) = 948301174

Least Common Multiple (LCM) of 30787 and 30802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30787 and 30802. First we will calculate the prime factors of 30787 and 30802.

Prime Factorization of 30787

Prime factors of 30787 are 17, 1811. Prime factorization of 30787 in exponential form is:

30787 = 171 × 18111

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 30787 and 30802.

LCM(30787,30802) = 171 × 18111 × 21 × 154011
LCM(30787,30802) = 948301174