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What is the Least Common Multiple of 38771 and 38779?

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 38771 and 38779 is 1503500609.

LCM(38771,38779) = 1503500609

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Least Common Multiple of 38771 and 38779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38771 and 38779, than apply into the LCM equation.

GCF(38771,38779) = 1
LCM(38771,38779) = ( 38771 × 38779) / 1
LCM(38771,38779) = 1503500609 / 1
LCM(38771,38779) = 1503500609

Least Common Multiple (LCM) of 38771 and 38779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38771 and 38779. First we will calculate the prime factors of 38771 and 38779.

Prime Factorization of 38771

Prime factors of 38771 are 137, 283. Prime factorization of 38771 in exponential form is:

38771 = 1371 × 2831

Prime Factorization of 38779

Prime factors of 38779 are 13, 19, 157. Prime factorization of 38779 in exponential form is:

38779 = 131 × 191 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 38771 and 38779.

LCM(38771,38779) = 1371 × 2831 × 131 × 191 × 1571
LCM(38771,38779) = 1503500609