What is the Least Common Multiple of 57655 and 57667?
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 57667 is 3324790885.
LCM(57655,57667) = 3324790885
Least Common Multiple of 57655 and 57667 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 57667, than apply into the LCM equation.
GCF(57655,57667) = 1
LCM(57655,57667) = ( 57655 × 57667) / 1
LCM(57655,57667) = 3324790885 / 1
LCM(57655,57667) = 3324790885
Least Common Multiple (LCM) of 57655 and 57667 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57655 and 57667. First we will calculate the prime factors of 57655 and 57667.
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 57667
Prime factors of 57667 are 57667. Prime factorization of 57667 in exponential form is:
57667 = 576671
Now multiplying the highest exponent prime factors to calculate the LCM of 57655 and 57667.
LCM(57655,57667) = 51 × 131 × 8871 × 576671
LCM(57655,57667) = 3324790885
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Related Least Common Multiples of 57667
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