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What is the Least Common Multiple of 30453 and 30472?

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 30453 and 30472 is 927963816.

LCM(30453,30472) = 927963816

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Least Common Multiple of 30453 and 30472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30453 and 30472, than apply into the LCM equation.

GCF(30453,30472) = 1
LCM(30453,30472) = ( 30453 × 30472) / 1
LCM(30453,30472) = 927963816 / 1
LCM(30453,30472) = 927963816

Least Common Multiple (LCM) of 30453 and 30472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30453 and 30472. First we will calculate the prime factors of 30453 and 30472.

Prime Factorization of 30453

Prime factors of 30453 are 3, 10151. Prime factorization of 30453 in exponential form is:

30453 = 31 × 101511

Prime Factorization of 30472

Prime factors of 30472 are 2, 13, 293. Prime factorization of 30472 in exponential form is:

30472 = 23 × 131 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 30453 and 30472.

LCM(30453,30472) = 31 × 101511 × 23 × 131 × 2931
LCM(30453,30472) = 927963816