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What is the Least Common Multiple of 48773 and 48786?

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 48773 and 48786 is 2379439578.

LCM(48773,48786) = 2379439578

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Least Common Multiple of 48773 and 48786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48773 and 48786, than apply into the LCM equation.

GCF(48773,48786) = 1
LCM(48773,48786) = ( 48773 × 48786) / 1
LCM(48773,48786) = 2379439578 / 1
LCM(48773,48786) = 2379439578

Least Common Multiple (LCM) of 48773 and 48786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48773 and 48786. First we will calculate the prime factors of 48773 and 48786.

Prime Factorization of 48773

Prime factors of 48773 are 17, 19, 151. Prime factorization of 48773 in exponential form is:

48773 = 171 × 191 × 1511

Prime Factorization of 48786

Prime factors of 48786 are 2, 3, 47, 173. Prime factorization of 48786 in exponential form is:

48786 = 21 × 31 × 471 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 48773 and 48786.

LCM(48773,48786) = 171 × 191 × 1511 × 21 × 31 × 471 × 1731
LCM(48773,48786) = 2379439578