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What is the Least Common Multiple of 30914 and 30928?

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 30914 and 30928 is 478054096.

LCM(30914,30928) = 478054096

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Least Common Multiple of 30914 and 30928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30914 and 30928, than apply into the LCM equation.

GCF(30914,30928) = 2
LCM(30914,30928) = ( 30914 × 30928) / 2
LCM(30914,30928) = 956108192 / 2
LCM(30914,30928) = 478054096

Least Common Multiple (LCM) of 30914 and 30928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30914 and 30928. First we will calculate the prime factors of 30914 and 30928.

Prime Factorization of 30914

Prime factors of 30914 are 2, 13, 29, 41. Prime factorization of 30914 in exponential form is:

30914 = 21 × 131 × 291 × 411

Prime Factorization of 30928

Prime factors of 30928 are 2, 1933. Prime factorization of 30928 in exponential form is:

30928 = 24 × 19331

Now multiplying the highest exponent prime factors to calculate the LCM of 30914 and 30928.

LCM(30914,30928) = 24 × 131 × 291 × 411 × 19331
LCM(30914,30928) = 478054096