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What is the Least Common Multiple of 30914 and 30921?

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 30921 is 955891794.

LCM(30914,30921) = 955891794

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Least Common Multiple of 30914 and 30921 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 30921, than apply into the LCM equation.

GCF(30914,30921) = 1
LCM(30914,30921) = ( 30914 × 30921) / 1
LCM(30914,30921) = 955891794 / 1
LCM(30914,30921) = 955891794

Least Common Multiple (LCM) of 30914 and 30921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30914 and 30921. First we will calculate the prime factors of 30914 and 30921.

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 30921

Prime factors of 30921 are 3, 11, 937. Prime factorization of 30921 in exponential form is:

30921 = 31 × 111 × 9371

Now multiplying the highest exponent prime factors to calculate the LCM of 30914 and 30921.

LCM(30914,30921) = 21 × 131 × 291 × 411 × 31 × 111 × 9371
LCM(30914,30921) = 955891794