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What is the Least Common Multiple of 30287 and 30306?

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 30287 and 30306 is 917877822.

LCM(30287,30306) = 917877822

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Least Common Multiple of 30287 and 30306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30287 and 30306, than apply into the LCM equation.

GCF(30287,30306) = 1
LCM(30287,30306) = ( 30287 × 30306) / 1
LCM(30287,30306) = 917877822 / 1
LCM(30287,30306) = 917877822

Least Common Multiple (LCM) of 30287 and 30306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30287 and 30306. First we will calculate the prime factors of 30287 and 30306.

Prime Factorization of 30287

Prime factors of 30287 are 31, 977. Prime factorization of 30287 in exponential form is:

30287 = 311 × 9771

Prime Factorization of 30306

Prime factors of 30306 are 2, 3, 5051. Prime factorization of 30306 in exponential form is:

30306 = 21 × 31 × 50511

Now multiplying the highest exponent prime factors to calculate the LCM of 30287 and 30306.

LCM(30287,30306) = 311 × 9771 × 21 × 31 × 50511
LCM(30287,30306) = 917877822