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What is the Least Common Multiple of 30351 and 30368?

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 30351 and 30368 is 921699168.

LCM(30351,30368) = 921699168

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Least Common Multiple of 30351 and 30368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30351 and 30368, than apply into the LCM equation.

GCF(30351,30368) = 1
LCM(30351,30368) = ( 30351 × 30368) / 1
LCM(30351,30368) = 921699168 / 1
LCM(30351,30368) = 921699168

Least Common Multiple (LCM) of 30351 and 30368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30351 and 30368. First we will calculate the prime factors of 30351 and 30368.

Prime Factorization of 30351

Prime factors of 30351 are 3, 67, 151. Prime factorization of 30351 in exponential form is:

30351 = 31 × 671 × 1511

Prime Factorization of 30368

Prime factors of 30368 are 2, 13, 73. Prime factorization of 30368 in exponential form is:

30368 = 25 × 131 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 30351 and 30368.

LCM(30351,30368) = 31 × 671 × 1511 × 25 × 131 × 731
LCM(30351,30368) = 921699168