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What is the Least Common Multiple of 55987 and 56001?

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 55987 and 56001 is 3135327987.

LCM(55987,56001) = 3135327987

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Least Common Multiple of 55987 and 56001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55987 and 56001, than apply into the LCM equation.

GCF(55987,56001) = 1
LCM(55987,56001) = ( 55987 × 56001) / 1
LCM(55987,56001) = 3135327987 / 1
LCM(55987,56001) = 3135327987

Least Common Multiple (LCM) of 55987 and 56001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55987 and 56001. First we will calculate the prime factors of 55987 and 56001.

Prime Factorization of 55987

Prime factors of 55987 are 55987. Prime factorization of 55987 in exponential form is:

55987 = 559871

Prime Factorization of 56001

Prime factors of 56001 are 3, 11, 1697. Prime factorization of 56001 in exponential form is:

56001 = 31 × 111 × 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 55987 and 56001.

LCM(55987,56001) = 559871 × 31 × 111 × 16971
LCM(55987,56001) = 3135327987