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What is the Least Common Multiple of 30512 and 30522?

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 30512 and 30522 is 465643632.

LCM(30512,30522) = 465643632

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Least Common Multiple of 30512 and 30522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30512 and 30522, than apply into the LCM equation.

GCF(30512,30522) = 2
LCM(30512,30522) = ( 30512 × 30522) / 2
LCM(30512,30522) = 931287264 / 2
LCM(30512,30522) = 465643632

Least Common Multiple (LCM) of 30512 and 30522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30512 and 30522. First we will calculate the prime factors of 30512 and 30522.

Prime Factorization of 30512

Prime factors of 30512 are 2, 1907. Prime factorization of 30512 in exponential form is:

30512 = 24 × 19071

Prime Factorization of 30522

Prime factors of 30522 are 2, 3, 5087. Prime factorization of 30522 in exponential form is:

30522 = 21 × 31 × 50871

Now multiplying the highest exponent prime factors to calculate the LCM of 30512 and 30522.

LCM(30512,30522) = 24 × 19071 × 31 × 50871
LCM(30512,30522) = 465643632