What is the Least Common Multiple of 55576 and 55581?
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 55576 and 55581 is 3088969656.
LCM(55576,55581) = 3088969656
Least Common Multiple of 55576 and 55581 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55576 and 55581, than apply into the LCM equation.
GCF(55576,55581) = 1
LCM(55576,55581) = ( 55576 × 55581) / 1
LCM(55576,55581) = 3088969656 / 1
LCM(55576,55581) = 3088969656
Least Common Multiple (LCM) of 55576 and 55581 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55576 and 55581. First we will calculate the prime factors of 55576 and 55581.
Prime Factorization of 55576
Prime factors of 55576 are 2, 6947. Prime factorization of 55576 in exponential form is:
55576 = 23 × 69471
Prime Factorization of 55581
Prime factors of 55581 are 3, 97, 191. Prime factorization of 55581 in exponential form is:
55581 = 31 × 971 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 55576 and 55581.
LCM(55576,55581) = 23 × 69471 × 31 × 971 × 1911
LCM(55576,55581) = 3088969656
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