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What is the Least Common Multiple of 30901 and 30912?

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 30901 and 30912 is 955211712.

LCM(30901,30912) = 955211712

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Least Common Multiple of 30901 and 30912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30901 and 30912, than apply into the LCM equation.

GCF(30901,30912) = 1
LCM(30901,30912) = ( 30901 × 30912) / 1
LCM(30901,30912) = 955211712 / 1
LCM(30901,30912) = 955211712

Least Common Multiple (LCM) of 30901 and 30912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30901 and 30912. First we will calculate the prime factors of 30901 and 30912.

Prime Factorization of 30901

Prime factors of 30901 are 13, 2377. Prime factorization of 30901 in exponential form is:

30901 = 131 × 23771

Prime Factorization of 30912

Prime factors of 30912 are 2, 3, 7, 23. Prime factorization of 30912 in exponential form is:

30912 = 26 × 31 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 30901 and 30912.

LCM(30901,30912) = 131 × 23771 × 26 × 31 × 71 × 231
LCM(30901,30912) = 955211712