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What is the Least Common Multiple of 30403 and 30408?

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 30403 and 30408 is 924494424.

LCM(30403,30408) = 924494424

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Least Common Multiple of 30403 and 30408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30403 and 30408, than apply into the LCM equation.

GCF(30403,30408) = 1
LCM(30403,30408) = ( 30403 × 30408) / 1
LCM(30403,30408) = 924494424 / 1
LCM(30403,30408) = 924494424

Least Common Multiple (LCM) of 30403 and 30408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30403 and 30408. First we will calculate the prime factors of 30403 and 30408.

Prime Factorization of 30403

Prime factors of 30403 are 30403. Prime factorization of 30403 in exponential form is:

30403 = 304031

Prime Factorization of 30408

Prime factors of 30408 are 2, 3, 7, 181. Prime factorization of 30408 in exponential form is:

30408 = 23 × 31 × 71 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 30403 and 30408.

LCM(30403,30408) = 304031 × 23 × 31 × 71 × 1811
LCM(30403,30408) = 924494424