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What is the Least Common Multiple of 53765 and 53771?

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 53765 and 53771 is 2890997815.

LCM(53765,53771) = 2890997815

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Least Common Multiple of 53765 and 53771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53765 and 53771, than apply into the LCM equation.

GCF(53765,53771) = 1
LCM(53765,53771) = ( 53765 × 53771) / 1
LCM(53765,53771) = 2890997815 / 1
LCM(53765,53771) = 2890997815

Least Common Multiple (LCM) of 53765 and 53771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53765 and 53771. First we will calculate the prime factors of 53765 and 53771.

Prime Factorization of 53765

Prime factors of 53765 are 5, 10753. Prime factorization of 53765 in exponential form is:

53765 = 51 × 107531

Prime Factorization of 53771

Prime factors of 53771 are 17, 3163. Prime factorization of 53771 in exponential form is:

53771 = 171 × 31631

Now multiplying the highest exponent prime factors to calculate the LCM of 53765 and 53771.

LCM(53765,53771) = 51 × 107531 × 171 × 31631
LCM(53765,53771) = 2890997815