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What is the Least Common Multiple of 30487 and 30494?

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 30487 and 30494 is 929670578.

LCM(30487,30494) = 929670578

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Least Common Multiple of 30487 and 30494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30487 and 30494, than apply into the LCM equation.

GCF(30487,30494) = 1
LCM(30487,30494) = ( 30487 × 30494) / 1
LCM(30487,30494) = 929670578 / 1
LCM(30487,30494) = 929670578

Least Common Multiple (LCM) of 30487 and 30494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30487 and 30494. First we will calculate the prime factors of 30487 and 30494.

Prime Factorization of 30487

Prime factors of 30487 are 43, 709. Prime factorization of 30487 in exponential form is:

30487 = 431 × 7091

Prime Factorization of 30494

Prime factors of 30494 are 2, 79, 193. Prime factorization of 30494 in exponential form is:

30494 = 21 × 791 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 30487 and 30494.

LCM(30487,30494) = 431 × 7091 × 21 × 791 × 1931
LCM(30487,30494) = 929670578