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What is the Least Common Multiple of 53855 and 53871?

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 53855 and 53871 is 2901222705.

LCM(53855,53871) = 2901222705

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Least Common Multiple of 53855 and 53871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53855 and 53871, than apply into the LCM equation.

GCF(53855,53871) = 1
LCM(53855,53871) = ( 53855 × 53871) / 1
LCM(53855,53871) = 2901222705 / 1
LCM(53855,53871) = 2901222705

Least Common Multiple (LCM) of 53855 and 53871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53855 and 53871. First we will calculate the prime factors of 53855 and 53871.

Prime Factorization of 53855

Prime factors of 53855 are 5, 10771. Prime factorization of 53855 in exponential form is:

53855 = 51 × 107711

Prime Factorization of 53871

Prime factors of 53871 are 3, 17957. Prime factorization of 53871 in exponential form is:

53871 = 31 × 179571

Now multiplying the highest exponent prime factors to calculate the LCM of 53855 and 53871.

LCM(53855,53871) = 51 × 107711 × 31 × 179571
LCM(53855,53871) = 2901222705