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What is the Least Common Multiple of 55987 and 56002?

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 56002 is 3135383974.

LCM(55987,56002) = 3135383974

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Least Common Multiple of 55987 and 56002 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 56002, than apply into the LCM equation.

GCF(55987,56002) = 1
LCM(55987,56002) = ( 55987 × 56002) / 1
LCM(55987,56002) = 3135383974 / 1
LCM(55987,56002) = 3135383974

Least Common Multiple (LCM) of 55987 and 56002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55987 and 56002. First we will calculate the prime factors of 55987 and 56002.

Prime Factorization of 55987

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

55987 = 559871

Prime Factorization of 56002

Prime factors of 56002 are 2, 28001. Prime factorization of 56002 in exponential form is:

56002 = 21 × 280011

Now multiplying the highest exponent prime factors to calculate the LCM of 55987 and 56002.

LCM(55987,56002) = 559871 × 21 × 280011
LCM(55987,56002) = 3135383974