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What is the Least Common Multiple of 30921 and 30930?

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 30921 and 30930 is 318795510.

LCM(30921,30930) = 318795510

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Least Common Multiple of 30921 and 30930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30921 and 30930, than apply into the LCM equation.

GCF(30921,30930) = 3
LCM(30921,30930) = ( 30921 × 30930) / 3
LCM(30921,30930) = 956386530 / 3
LCM(30921,30930) = 318795510

Least Common Multiple (LCM) of 30921 and 30930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30921 and 30930. First we will calculate the prime factors of 30921 and 30930.

Prime Factorization of 30921

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

30921 = 31 × 111 × 9371

Prime Factorization of 30930

Prime factors of 30930 are 2, 3, 5, 1031. Prime factorization of 30930 in exponential form is:

30930 = 21 × 31 × 51 × 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 30921 and 30930.

LCM(30921,30930) = 31 × 111 × 9371 × 21 × 51 × 10311
LCM(30921,30930) = 318795510