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What is the Least Common Multiple of 30489 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 30489 and 30494 is 929731566.

LCM(30489,30494) = 929731566

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Least Common Multiple of 30489 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 30489 and 30494, than apply into the LCM equation.

GCF(30489,30494) = 1
LCM(30489,30494) = ( 30489 × 30494) / 1
LCM(30489,30494) = 929731566 / 1
LCM(30489,30494) = 929731566

Least Common Multiple (LCM) of 30489 and 30494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30489 and 30494. First we will calculate the prime factors of 30489 and 30494.

Prime Factorization of 30489

Prime factors of 30489 are 3, 10163. Prime factorization of 30489 in exponential form is:

30489 = 31 × 101631

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 30489 and 30494.

LCM(30489,30494) = 31 × 101631 × 21 × 791 × 1931
LCM(30489,30494) = 929731566