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What is the Least Common Multiple of 30474 and 30478?

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 30474 and 30478 is 464393286.

LCM(30474,30478) = 464393286

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Least Common Multiple of 30474 and 30478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30474 and 30478, than apply into the LCM equation.

GCF(30474,30478) = 2
LCM(30474,30478) = ( 30474 × 30478) / 2
LCM(30474,30478) = 928786572 / 2
LCM(30474,30478) = 464393286

Least Common Multiple (LCM) of 30474 and 30478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30474 and 30478. First we will calculate the prime factors of 30474 and 30478.

Prime Factorization of 30474

Prime factors of 30474 are 2, 3, 1693. Prime factorization of 30474 in exponential form is:

30474 = 21 × 32 × 16931

Prime Factorization of 30478

Prime factors of 30478 are 2, 7, 311. Prime factorization of 30478 in exponential form is:

30478 = 21 × 72 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 30474 and 30478.

LCM(30474,30478) = 21 × 32 × 16931 × 72 × 3111
LCM(30474,30478) = 464393286