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What is the Least Common Multiple of 30773 and 30780?

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 30773 and 30780 is 947192940.

LCM(30773,30780) = 947192940

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Least Common Multiple of 30773 and 30780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30773 and 30780, than apply into the LCM equation.

GCF(30773,30780) = 1
LCM(30773,30780) = ( 30773 × 30780) / 1
LCM(30773,30780) = 947192940 / 1
LCM(30773,30780) = 947192940

Least Common Multiple (LCM) of 30773 and 30780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30773 and 30780. First we will calculate the prime factors of 30773 and 30780.

Prime Factorization of 30773

Prime factors of 30773 are 30773. Prime factorization of 30773 in exponential form is:

30773 = 307731

Prime Factorization of 30780

Prime factors of 30780 are 2, 3, 5, 19. Prime factorization of 30780 in exponential form is:

30780 = 22 × 34 × 51 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 30773 and 30780.

LCM(30773,30780) = 307731 × 22 × 34 × 51 × 191
LCM(30773,30780) = 947192940