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What is the Least Common Multiple of 30894 and 30905?

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 30894 and 30905 is 954779070.

LCM(30894,30905) = 954779070

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Least Common Multiple of 30894 and 30905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30894 and 30905, than apply into the LCM equation.

GCF(30894,30905) = 1
LCM(30894,30905) = ( 30894 × 30905) / 1
LCM(30894,30905) = 954779070 / 1
LCM(30894,30905) = 954779070

Least Common Multiple (LCM) of 30894 and 30905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30894 and 30905. First we will calculate the prime factors of 30894 and 30905.

Prime Factorization of 30894

Prime factors of 30894 are 2, 3, 19, 271. Prime factorization of 30894 in exponential form is:

30894 = 21 × 31 × 191 × 2711

Prime Factorization of 30905

Prime factors of 30905 are 5, 7, 883. Prime factorization of 30905 in exponential form is:

30905 = 51 × 71 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 30894 and 30905.

LCM(30894,30905) = 21 × 31 × 191 × 2711 × 51 × 71 × 8831
LCM(30894,30905) = 954779070