What is the Least Common Multiple of 57655 and 57671?
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 57655 and 57671 is 3325021505.
LCM(57655,57671) = 3325021505
Least Common Multiple of 57655 and 57671 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57655 and 57671, than apply into the LCM equation.
GCF(57655,57671) = 1
LCM(57655,57671) = ( 57655 × 57671) / 1
LCM(57655,57671) = 3325021505 / 1
LCM(57655,57671) = 3325021505
Least Common Multiple (LCM) of 57655 and 57671 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57655 and 57671. First we will calculate the prime factors of 57655 and 57671.
Prime Factorization of 57655
Prime factors of 57655 are 5, 13, 887. Prime factorization of 57655 in exponential form is:
57655 = 51 × 131 × 8871
Prime Factorization of 57671
Prime factors of 57671 are 101, 571. Prime factorization of 57671 in exponential form is:
57671 = 1011 × 5711
Now multiplying the highest exponent prime factors to calculate the LCM of 57655 and 57671.
LCM(57655,57671) = 51 × 131 × 8871 × 1011 × 5711
LCM(57655,57671) = 3325021505
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