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What is the Least Common Multiple of 30770 and 30787?

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 30770 and 30787 is 55724470.

LCM(30770,30787) = 55724470

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Least Common Multiple of 30770 and 30787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30770 and 30787, than apply into the LCM equation.

GCF(30770,30787) = 17
LCM(30770,30787) = ( 30770 × 30787) / 17
LCM(30770,30787) = 947315990 / 17
LCM(30770,30787) = 55724470

Least Common Multiple (LCM) of 30770 and 30787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30770 and 30787. First we will calculate the prime factors of 30770 and 30787.

Prime Factorization of 30770

Prime factors of 30770 are 2, 5, 17, 181. Prime factorization of 30770 in exponential form is:

30770 = 21 × 51 × 171 × 1811

Prime Factorization of 30787

Prime factors of 30787 are 17, 1811. Prime factorization of 30787 in exponential form is:

30787 = 171 × 18111

Now multiplying the highest exponent prime factors to calculate the LCM of 30770 and 30787.

LCM(30770,30787) = 21 × 51 × 171 × 1811 × 18111
LCM(30770,30787) = 55724470