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What is the Least Common Multiple of 30930 and 30938?

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 30930 and 30938 is 478456170.

LCM(30930,30938) = 478456170

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Least Common Multiple of 30930 and 30938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30930 and 30938, than apply into the LCM equation.

GCF(30930,30938) = 2
LCM(30930,30938) = ( 30930 × 30938) / 2
LCM(30930,30938) = 956912340 / 2
LCM(30930,30938) = 478456170

Least Common Multiple (LCM) of 30930 and 30938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30930 and 30938. First we will calculate the prime factors of 30930 and 30938.

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

Prime Factorization of 30938

Prime factors of 30938 are 2, 31, 499. Prime factorization of 30938 in exponential form is:

30938 = 21 × 311 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 30930 and 30938.

LCM(30930,30938) = 21 × 31 × 51 × 10311 × 311 × 4991
LCM(30930,30938) = 478456170